pith. sign in

arxiv: 2508.10761 · v2 · submitted 2025-08-14 · ✦ hep-th · gr-qc

Unexpected Symmetries of Kerr Black Hole Scattering

Dogan Akpinar , Graham R. Brown , Riccardo Gonzo , Mao Zeng This is my paper

Pith reviewed 2026-05-18 23:08 UTC · model grok-4.3

classification ✦ hep-th gr-qc
keywords Kerr black holesscattering amplitudesconserved quantitiesintegrabilitypost-Minkowskian expansionspin effectsradial action
0
0 comments X

The pith

Kerr black hole scattering conserves energy, angular momentum, the Rüdiger invariant and a quadrupolar Carter constant.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper examines conserved quantities in the scattering of Kerr black holes using the spinning radial action obtained from amplitudes. It demonstrates that energy, angular momentum, the Rüdiger invariant and the quadrupolar Carter constant remain conserved in the probe limit and beyond the probe limit up to third post-Minkowskian order in the conservative sector. The authors also introduce an on-shell definition of asymptotic integrability in the Liouville sense and present evidence that this integrability holds for a spinning probe up to quartic order in spin across all post-Minkowskian orders, with additional support at low orders when both bodies spin. These results indicate that the two-body dynamics of spinning black holes may possess more structure than previously recognized, potentially affecting how scattering observables are computed.

Core claim

Using the spinning radial action, the authors establish conservation of energy, angular momentum, the Rüdiger invariant and the quadrupolar Carter constant both in the probe limit and beyond it up to third post-Minkowskian order. They clarify the role of spin-shift symmetry in the radial action and define a new on-shell notion of asymptotic integrability, showing that a spinning probe in Kerr satisfies this integrability up to quartic spin order to all post-Minkowskian orders while integrability also holds beyond the probe limit at low post-Minkowskian orders.

What carries the argument

The spinning radial action extracted from on-shell amplitudes, which encodes the dynamics and permits direct checks of conservation laws and integrability.

If this is right

  • Conservation of the listed quantities holds in the conservative sector up to third post-Minkowskian order for both probe and non-probe cases.
  • A new on-shell asymptotic integrability in the Liouville sense is satisfied by spinning probes to quartic spin order at all post-Minkowskian orders.
  • Integrability extends beyond the probe limit at low post-Minkowskian orders.
  • Spin-shift symmetry of the radial action plays a clarifying role in the scattering dynamics.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The observed integrability may allow resummation techniques that simplify higher-order post-Minkowskian calculations for spinning binaries.
  • Similar hidden conservations could appear in the full two-body problem with mutual spin interactions at higher orders.
  • These symmetries might connect to known integrable structures in geodesic motion around Kerr black holes and suggest extensions to waveform modeling.

Load-bearing premise

The spinning radial action taken from the existing literature is accurate enough to establish the reported conservations and integrability up to the stated orders.

What would settle it

An explicit calculation of the radial action at fourth post-Minkowskian order that shows violation of the Rüdiger invariant or the quadrupolar Carter constant would falsify the conservation claims.

read the original abstract

Motivated by the recent introduction of the Dirac bracket framework to compute spinning observables for the scattering of Kerr black holes, we initiate the study of conserved quantities from an on-shell amplitude perspective. We establish new results for the conservation of energy, angular momentum, the R\"udiger invariant and the quadrupolar Carter constant using the spinning radial action extracted from the literature both in the probe limit and beyond, up to third post-Minkowskian order in the conservative sector. Furthermore, we offer a new perspective on the spin-shift symmetry of the radial action, clarifying its role in the dynamics. Finally, we define a new on-shell notion of asymptotic integrability in the Liouville sense and present strong evidence that it is surprisingly satisfied by a spinning probe in Kerr up to quartic order in the probe spin, to all orders in the post-Minkowskian expansion. We further establish integrability beyond the probe limit at low PM orders. Our results suggest important new implications for the dynamics of Kerr black holes.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The paper uses the spinning radial action extracted from prior literature to establish conservation of energy, angular momentum, the Rüdiger invariant, and the quadrupolar Carter constant for Kerr black hole scattering, both in the probe limit and beyond the probe limit up to third post-Minkowskian order in the conservative sector. It clarifies the role of spin-shift symmetry in the radial action and introduces a new on-shell notion of asymptotic Liouville integrability, presenting evidence that this integrability holds for a spinning probe in Kerr up to quartic order in probe spin to all post-Minkowskian orders, with further evidence beyond the probe limit at low PM orders.

Significance. If the input radial action is accurate, the results would indicate previously unrecognized symmetries and an asymptotic integrability structure in spinning Kerr scattering. This could have implications for simplifying conservative dynamics and for understanding hidden constants of motion in general relativity, particularly the all-orders PM claim in the probe limit.

major comments (2)
  1. [Abstract and sections presenting radial action substitution] The central claims of conservation laws and integrability rest on substituting the spinning radial action taken from the literature without an independent derivation, explicit coefficient expressions, or cross-checks for the O(S^4) terms or 3PM contributions. Any error in those spin-dependent coefficients would directly falsify the reported conservations and the satisfaction of the integrability conditions (see abstract and the sections presenting the probe-limit and 3PM results).
  2. [Abstract and integrability definition section] The abstract states 'strong evidence' for integrability up to quartic order in probe spin to all PM orders, yet the manuscript supplies no explicit derivations of the integrability conditions, error estimates on the substituted action, or comparisons to independent calculations that would support this extrapolation.
minor comments (2)
  1. [Section introducing the integrability notion] Clarify the precise definition of the new on-shell asymptotic Liouville integrability with an explicit equation or set of conditions that can be checked directly from the radial action.
  2. [Sections on conserved quantities] Ensure consistent notation for the Rüdiger invariant and quadrupolar Carter constant when discussing their conservation beyond the probe limit.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading of the manuscript and for highlighting these important points regarding the reliance on prior results and the presentation of evidence. We address each major comment below.

read point-by-point responses

  1. Referee: [Abstract and sections presenting radial action substitution] The central claims of conservation laws and integrability rest on substituting the spinning radial action taken from the literature without an independent derivation, explicit coefficient expressions, or cross-checks for the O(S^4) terms or 3PM contributions. Any error in those spin-dependent coefficients would directly falsify the reported conservations and the satisfaction of the integrability conditions (see abstract and the sections presenting the probe-limit and 3PM results).

    Authors: We acknowledge that the spinning radial action is taken from the existing literature rather than re-derived in this work. The manuscript's focus is on the consequences for conservation laws and the new notion of asymptotic integrability. In the revised version we will include the explicit coefficient expressions (up to the orders used) together with expanded citations to the original derivations of the radial action. Internal consistency with known lower-order results has been checked, but we agree that further independent cross-checks would be valuable; such comparisons lie outside the present scope. revision: partial

  2. Referee: [Abstract and integrability definition section] The abstract states 'strong evidence' for integrability up to quartic order in probe spin to all PM orders, yet the manuscript supplies no explicit derivations of the integrability conditions, error estimates on the substituted action, or comparisons to independent calculations that would support this extrapolation.

    Authors: The evidence consists of direct substitution of the literature radial action into the integrability conditions, which hold identically in the probe limit to all PM orders and to the stated spin order. We will revise the integrability section to display the explicit verification steps for the probe case. A clarifying remark will be added that the evidence is conditional on the accuracy of the input action; error estimates are therefore inherited from that literature. At present, independent high-order calculations for direct comparison are not available in the literature, though consistency with established lower-order results is noted. revision: partial

Circularity Check

0 steps flagged

No significant circularity; derivation uses external literature input for radial action

full rationale

The paper extracts the spinning radial action from prior literature as an independent input and performs explicit checks for conservation of energy, angular momentum, Rüdiger invariant, quadrupolar Carter constant, and asymptotic Liouville integrability up to specified orders in spin and PM expansion. This constitutes a standard calculation on given data rather than any reduction of outputs to inputs by construction. No self-definitional loops, fitted parameters renamed as predictions, or load-bearing self-citations that render the central claims tautological appear in the provided text. The results supply independent content by verifying the symmetries on the imported action.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The abstract relies on the accuracy of previously published spinning radial actions and on standard conservation principles in scattering; no new free parameters or invented entities are introduced in the summary provided.

axioms (2)
  • domain assumption Standard conservation of energy and angular momentum in isolated scattering processes
    Invoked when establishing conservation of these quantities from the radial action.
  • domain assumption Existence and properties of the Rüdiger invariant and quadrupolar Carter constant in Kerr geometry
    Used as target conserved quantities whose conservation is checked.

pith-pipeline@v0.9.0 · 5709 in / 1427 out tokens · 31277 ms · 2026-05-18T23:08:54.537632+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

What do these tags mean?
matches
The paper's claim is directly supported by a theorem in the formal canon.
supports
The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends
The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses
The paper appears to rely on the theorem as machinery.
contradicts
The paper's claim conflicts with a theorem or certificate in the canon.
unclear
Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. On the integrability of root-Kerr probe dynamics

    hep-th 2026-04 unverdicted novelty 7.0

    In the root-Kerr model, integrability holds to all spin orders at first order in probe charge with Newman-Janis vertices but extends only to spin-squared at second order and fails at spin-cubic, with asymptotic conser...

  2. On the integrability of root-Kerr probe dynamics

    hep-th 2026-04 unverdicted novelty 6.0

    In the root-Kerr probe model, integrability holds to all spin orders at leading probe charge under Newman-Janis vertices but fails at spin-cubic order at second charge order and cannot be restored by further action de...

  3. Universality in Relativistic Spinning Particle Models

    hep-th 2026-03 unverdicted novelty 6.0

    Four relativistic spinning particle models (vector oscillator, spinor oscillator, spherical top, massive twistor) describe identical physics in free and interacting theories within the spin-magnitude-preserving sector.

  4. Iterative Solution of the Kerr Black Hole Metric

    hep-th 2026-05 unverdicted novelty 4.0

    A double perturbative expansion of the Kerr metric is obtained by recursively solving the Einstein equations in harmonic gauge to arbitrary order in G and a, with re-summation requiring redundant harmonic coordinate terms.

Reference graph

Works this paper leans on

127 extracted references · 127 canonical work pages · cited by 3 Pith papers · 13 internal anchors

  1. [1]

    [101], • ∞PM through O(s1 1s∞ 2 ) in the probe limit [102] 3, • 3PM through O(s4), 4PM through O(s3) and 5PM through O(s2) in the probe limit [111], where the total power in spin is denoted by O(sn) [for example, O(s2) = O(s2

    work page

  2. [2]

    In the case of Refs

    + O(s1s2) + O(s2 2)]. In the case of Refs. [70, 111], we extracted the radial action uniquely via an ansatz matched to their impulse. We have checked that the radial actions listed above are in agreement where they overlap (up to metric signature and Levi-Civita conventions), and we have included their 3 The results of Ref. [102] are already written in te...

    work page

  3. [3]

    We then impose on-shell conditions v2 i = 1, the covariant spin supplementary condition (SSC) vi · si = 0, and transver- sality b · vi = 0. These conditions provide 6 constraints, 5 Probe limit ˜L, QY , Q O(s2) O(s3) O(s4) O(s5) G1 ✓ ✓ ✓ ✓ G2 ✓ ✓ ✓ X G3 ✓ ✓ ✓ ? G4 ✓ ✓ ? ? G5 ✓ ? ? ? Beyond probe limit (conservative) ˜L, QY , Q O(s1) O(s2 1s0

    work page

  4. [4]

    The pattern of conservation is the same for all ˜L, Q, QY (and for s1 ↔ s2 terms beyond the probe limit)

    O(s1 1s1 2) G1 ✓ ✓ ✓ ✓ ✓ X G2 ✓ ✓ ✓ X ? X G3 ✓ X X ? ? X TABLE I: Asymptotic integrability results in the probe limit (left) and beyond the probe limit (right), but still in the conservative regime. The pattern of conservation is the same for all ˜L, Q, QY (and for s1 ↔ s2 terms beyond the probe limit). A ‘?’ denotes unknown orders in the radial action. W...

    work page

  5. [5]

    As a result, knowledge of the aligned-spin scattering angle suffices to fully determine all 70 coeffi- cients in the general spinning radial action

    Remarkably, this exactly matches the number of in- dependent coefficients appearing in the aligned-spin scat- tering angle. As a result, knowledge of the aligned-spin scattering angle suffices to fully determine all 70 coeffi- cients in the general spinning radial action. Notice that this is reminiscent of the tutti-frutti method [115, 116], albeit using ...

    work page

  6. [6]

    Observation of Gravitational Waves from a Binary Black Hole Merger

    B. P. Abbott et al. (LIGO Scientific, Virgo), “Obser- vation of Gravitational Waves from a Binary Black Hole Merger,” Phys. Rev. Lett. 116, 061102 (2016), arXiv:1602.03837 [gr-qc]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  7. [7]

    GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral

    B. P. Abbott et al. (LIGO Scientific, Virgo), “GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral,” Phys. Rev. Lett. 119, 161101 (2017), arXiv:1710.05832 [gr-qc]

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  8. [8]

    The Einstein Telescope: A third-generation gravitational wave observatory,

    M. Punturo et al. , “The Einstein Telescope: A third-generation gravitational wave observatory,” Class. Quant. Grav. 27, 194002 (2010)

    work page 2010

  9. [9]

    Laser Interferometer Space Antenna

    Pau Amaro-Seoane et al. (LISA), “Laser Interferome- ter Space Antenna,” (2017), arXiv:1702.00786 [astro- ph.IM]

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  10. [10]

    Cosmic Explorer: The U.S. Contribution to Gravitational-Wave Astronomy beyond LIGO

    David Reitze et al. , “Cosmic Explorer: The U.S. Contribution to Gravitational-Wave Astronomy be- yond LIGO,” Bull. Am. Astron. Soc. 51, 035 (2019), arXiv:1907.04833 [astro-ph.IM]

    work page internal anchor Pith review Pith/arXiv arXiv 2019

  11. [11]

    Borhanian and B

    Ssohrab Borhanian and B. S. Sathyaprakash, “Lis- tening to the Universe with next generation ground- based gravitational-wave detectors,” Phys. Rev. D 110, 083040 (2024), arXiv:2202.11048 [gr-qc]

    work page arXiv 2024

  12. [12]

    P¨ urrer and C.-J

    Michael P¨ urrer and Carl-Johan Haster, “Gravitational waveform accuracy requirements for future ground- based detectors,” Phys. Rev. Res. 2, 023151 (2020), arXiv:1912.10055 [gr-qc]

    work page arXiv 2020

  13. [13]

    From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion

    Clifford Cheung, Ira Z. Rothstein, and Mikhail P. Solon, “From Scattering Amplitudes to Classical Poten- tials in the Post-Minkowskian Expansion,” Phys. Rev. Lett. 121, 251101 (2018), arXiv:1808.02489 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  14. [14]

    Amplitudes, Observables, and Classical Scattering

    David A. Kosower, Ben Maybee, and Donal O’Connell, “Amplitudes, Observables, and Classical Scattering,” JHEP 02, 137 (2019), arXiv:1811.10950 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2019

  15. [15]

    Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order

    Zvi Bern, Clifford Cheung, Radu Roiban, Chia-Hsien Shen, Mikhail P. Solon, and Mao Zeng, “Scattering Am- plitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order,” Phys. Rev. Lett. 122, 201603 (2019), arXiv:1901.04424 [hep-th]

    work page internal anchor Pith review Pith/arXiv arXiv 2019

  16. [16]

    Black Hole Binary Dynamics from the Double Copy and Effective Theory,

    Zvi Bern, Clifford Cheung, Radu Roiban, Chia-Hsien Shen, Mikhail P. Solon, and Mao Zeng, “Black Hole Binary Dynamics from the Double Copy and Effective Theory,” JHEP 10, 206 (2019), arXiv:1908.01493 [hep- th]

    work page arXiv 2019

  17. [17]

    Post-Minkowskian Hamiltonians in general relativity,

    Andrea Cristofoli, N. E. J. Bjerrum-Bohr, Poul H. Damgaard, and Pierre Vanhove, “Post-Minkowskian Hamiltonians in general relativity,” Phys. Rev. D 100, 084040 (2019), arXiv:1906.01579 [hep-th]

    work page arXiv 2019

  18. [18]

    Post-Minkowskian Scattering Angle in Ein- stein Gravity,

    N. E. J. Bjerrum-Bohr, Andrea Cristofoli, and Poul H. Damgaard, “Post-Minkowskian Scattering Angle in Ein- stein Gravity,” JHEP 08, 038 (2020), arXiv:1910.09366 [hep-th]

    work page arXiv 2020

  19. [19]

    Brandhuber, G

    Andreas Brandhuber, Gang Chen, Gabriele Travaglini, and Congkao Wen, “Classical gravitational scattering from a gauge-invariant double copy,” JHEP 10, 118 (2021), arXiv:2108.04216 [hep-th]

    work page arXiv 2021

  20. [20]

    Scattering Amplitudes and Conserva- tive Binary Dynamics at O(G4),

    Zvi Bern, Julio Parra-Martinez, Radu Roiban, Michael S. Ruf, Chia-Hsien Shen, Mikhail P. Solon, and Mao Zeng, “Scattering Amplitudes and Conserva- tive Binary Dynamics at O(G4),” Phys. Rev. Lett. 126, 171601 (2021), arXiv:2101.07254 [hep-th]

    work page arXiv 2021

  21. [21]

    Scattering Amplitudes, the Tail Effect, and Conservative Binary Dynamics at O(G4),

    Zvi Bern, Julio Parra-Martinez, Radu Roiban, Michael S. Ruf, Chia-Hsien Shen, Mikhail P. Solon, and Mao Zeng, “Scattering Amplitudes, the Tail Effect, and Conservative Binary Dynamics at O(G4),” Phys. Rev. Lett. 128, 161103 (2022), arXiv:2112.10750 [hep-th]

    work page arXiv 2022

  22. [22]

    H., Hansen, E

    Poul H. Damgaard, Elias Roos Hansen, Ludovic Plant´ e, and Pierre Vanhove, “Classical observables from the ex- ponential representation of the gravitational S-matrix,” JHEP 09, 183 (2023), arXiv:2307.04746 [hep-th]

    work page arXiv 2023

  23. [23]

    K¨ alin and R

    Gregor K¨ alin and Rafael A. Porto, “Post-Minkowskian Effective Field Theory for Conservative Binary Dynam- ics,” JHEP 11, 106 (2020), arXiv:2006.01184 [hep-th]

    work page arXiv 2020

  24. [24]

    & Porto, R

    Gregor K¨ alin, Zhengwen Liu, and Rafael A. Porto, “Conservative Dynamics of Binary Systems to Third Post-Minkowskian Order from the Effective Field The- ory Approach,” Phys. Rev. Lett. 125, 261103 (2020), arXiv:2007.04977 [hep-th]

    work page arXiv 2020

  25. [25]

    Kälin, J

    Gregor K¨ alin, Jakob Neef, and Rafael A. Porto, “Radiation-reaction in the Effective Field Theory ap- proach to Post-Minkowskian dynamics,” JHEP 01, 140 (2023), arXiv:2207.00580 [hep-th]

    work page arXiv 2023

  26. [26]

    Dlapa, G

    Christoph Dlapa, Gregor K¨ alin, Zhengwen Liu, and Rafael A. Porto, “Bootstrapping the relativistic two- body problem,” JHEP 08, 109 (2023), arXiv:2304.01275 [hep-th]

    work page arXiv 2023

  27. [27]

    Dlapa, G

    Christoph Dlapa, Gregor K¨ alin, Zhengwen Liu, and Rafael A. Porto, “Dynamics of binary systems to fourth Post-Minkowskian order from the effective field the- ory approach,” Phys. Lett. B 831, 137203 (2022), arXiv:2106.08276 [hep-th]

    work page arXiv 2022

  28. [28]

    Mogull, J

    Gustav Mogull, Jan Plefka, and Jan Steinhoff, “Classi- cal black hole scattering from a worldline quantum field theory,” JHEP 02, 048 (2021), arXiv:2010.02865 [hep- th]

    work page arXiv 2021

  29. [29]

    Classical Gravitational Bremsstrahlung from a Worldline Quantum Field Theory,

    Gustav Uhre Jakobsen, Gustav Mogull, Jan Plefka, and Jan Steinhoff, “Classical Gravitational Bremsstrahlung from a Worldline Quantum Field Theory,” Phys. Rev. Lett. 126, 201103 (2021), arXiv:2101.12688 [gr-qc]

    work page arXiv 2021

  30. [30]

    U., Mogull, G., Plefka, J

    Gustav Uhre Jakobsen, Gustav Mogull, Jan Plefka, and Benjamin Sauer, “All things retarded: radiation- reaction in worldline quantum field theory,” JHEP 10, 128 (2022), arXiv:2207.00569 [hep-th]

    work page arXiv 2022

  31. [31]

    thesis, Humboldt U., Berlin, Humboldt U., Berlin (main) (2023), arXiv:2308.04388 [hep-th]

    Gustav Uhre Jakobsen, Gravitational Scattering of Compact Bodies from Worldline Quantum Field The- ory, Ph.D. thesis, Humboldt U., Berlin, Humboldt U., Berlin (main) (2023), arXiv:2308.04388 [hep-th]

    work page arXiv 2023

  32. [32]

    Driesse, G.U

    Mathias Driesse, Gustav Uhre Jakobsen, Gustav Mogull, Jan Plefka, Benjamin Sauer, and Johann Uso- vitsch, “Conservative Black Hole Scattering at Fifth Post-Minkowskian and First Self-Force Order,” Phys. Rev. Lett. 132, 241402 (2024), arXiv:2403.07781 [hep- th]

    work page arXiv 2024

  33. [33]

    Emergence of Calabi-Yau manifolds in high-precision black hole scattering

    Mathias Driesse, Gustav Uhre Jakobsen, Albrecht Klemm, Gustav Mogull, Christoph Nega, Jan Ple- fka, Benjamin Sauer, and Johann Usovitsch, “High- precision black hole scattering with Calabi-Yau mani- folds,” (2024), arXiv:2411.11846 [hep-th]

    work page Pith review arXiv 2024

  34. [34]

    Gravitational spin-orbit coupling in binary systems, post-Minkowskian approximation and effective one-body theory

    Donato Bini and Thibault Damour, “Gravitational spin- orbit coupling in binary systems, post-Minkowskian ap- proximation and effective one-body theory,” Phys. Rev. D 96, 104038 (2017), arXiv:1709.00590 [gr-qc]. 8

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  35. [35]

    Gravitational spin-orbit coupling in binary systems at the second post-Minkowskian approximation

    Donato Bini and Thibault Damour, “Gravitational spin- orbit coupling in binary systems at the second post- Minkowskian approximation,” Phys. Rev. D 98, 044036 (2018), arXiv:1805.10809 [gr-qc]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  36. [36]

    Scattering of two spinning black holes in post-Minkowskian gravity, to all orders in spin, and effective-one-body mappings

    Justin Vines, “Scattering of two spinning black holes in post-Minkowskian gravity, to all orders in spin, and effective-one-body mappings,” Class. Quant. Grav. 35, 084002 (2018), arXiv:1709.06016 [gr-qc]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  37. [37]

    Spinning-black-hole scattering and the test-black-hole limit at second post-Minkowskian order,

    Justin Vines, Jan Steinhoff, and Alessandra Buonanno, “Spinning-black-hole scattering and the test-black-hole limit at second post-Minkowskian order,” Phys. Rev. D 99, 064054 (2019), arXiv:1812.00956 [gr-qc]

    work page arXiv 2019

  38. [38]

    Holomorphic Classical Limit for Spin Effects in Gravitational and Electromagnetic Scatter- ing,

    Alfredo Guevara, “Holomorphic Classical Limit for Spin Effects in Gravitational and Electromagnetic Scatter- ing,” JHEP 04, 033 (2019), arXiv:1706.02314 [hep-th]

    work page arXiv 2019

  39. [39]

    Guevara, A

    Alfredo Guevara, Alexander Ochirov, and Justin Vines, “Scattering of Spinning Black Holes from Ex- ponentiated Soft Factors,” JHEP 09, 056 (2019), arXiv:1812.06895 [hep-th]

    work page arXiv 2019

  40. [40]

    The simplest massive S-matrix: from minimal coupling to Black Holes,

    Ming-Zhi Chung, Yu-Tin Huang, Jung-Wook Kim, and Sangmin Lee, “The simplest massive S-matrix: from minimal coupling to Black Holes,” JHEP04, 156 (2019), arXiv:1812.08752 [hep-th]

    work page arXiv 2019

  41. [41]

    Arkani-Hamed, Y.-t

    Nima Arkani-Hamed, Yu-tin Huang, and Donal O’Connell, “Kerr black holes as elementary particles,” JHEP 01, 046 (2020), arXiv:1906.10100 [hep-th]

    work page arXiv 2020

  42. [42]

    Black-hole scattering with general spin direc- tions from minimal-coupling amplitudes,

    Alfredo Guevara, Alexander Ochirov, and Justin Vines, “Black-hole scattering with general spin direc- tions from minimal-coupling amplitudes,” Phys. Rev. D 100, 104024 (2019), arXiv:1906.10071 [hep-th]

    work page arXiv 2019

  43. [43]

    Classical potential for general spinning bodies,

    Ming-Zhi Chung, Yu-Tin Huang, and Jung-Wook Kim, “Classical potential for general spinning bodies,” JHEP 09, 074 (2020), arXiv:1908.08463 [hep-th]

    work page arXiv 2020

  44. [44]

    Heavy Black Hole Effective Theory,

    Poul H. Damgaard, Kays Haddad, and Andreas Helset, “Heavy Black Hole Effective Theory,” JHEP 11, 070 (2019), arXiv:1908.10308 [hep-ph]

    work page arXiv 2019

  45. [45]

    On- shell heavy particle effective theories,

    Rafael Aoude, Kays Haddad, and Andreas Helset, “On- shell heavy particle effective theories,” JHEP 05, 051 (2020), arXiv:2001.09164 [hep-th]

    work page arXiv 2020

  46. [46]

    Complete Hamiltonian for spinning bi- nary systems at first post-Minkowskian order,

    Ming-Zhi Chung, Yu-tin Huang, Jung-Wook Kim, and Sangmin Lee, “Complete Hamiltonian for spinning bi- nary systems at first post-Minkowskian order,” JHEP 05, 105 (2020), arXiv:2003.06600 [hep-th]

    work page arXiv 2020

  47. [47]

    A worldsheet for Kerr,

    Alfredo Guevara, Ben Maybee, Alexander Ochirov, Donal O’connell, and Justin Vines, “A worldsheet for Kerr,” JHEP 03, 201 (2021), arXiv:2012.11570 [hep-th]

    work page arXiv 2021

  48. [48]

    Spinning black hole binary dynamics, scattering amplitudes, and effective field theory,

    Zvi Bern, Andres Luna, Radu Roiban, Chia-Hsien Shen, and Mao Zeng, “Spinning black hole binary dynamics, scattering amplitudes, and effective field theory,” Phys. Rev. D 104, 065014 (2021), arXiv:2005.03071 [hep-th]

    work page arXiv 2021

  49. [49]

    Quadratic- in-spin Hamiltonian at O(G2) from scattering ampli- tudes,

    Dimitrios Kosmopoulos and Andres Luna, “Quadratic- in-spin Hamiltonian at O(G2) from scattering ampli- tudes,” JHEP 07, 037 (2021), arXiv:2102.10137 [hep- th]

    work page arXiv 2021

  50. [51]

    The 2PM Hamiltonian for binary Kerr to quartic in spin,

    Wei-Ming Chen, Ming-Zhi Chung, Yu-tin Huang, and Jung-Wook Kim, “The 2PM Hamiltonian for binary Kerr to quartic in spin,” JHEP 08, 148 (2022), arXiv:2111.13639 [hep-th]

    work page arXiv 2022

  51. [52]

    Conservative Binary Dynamics with a Spinning Black Hole at O(G3) from Scattering Amplitudes,

    Fernando Febres Cordero, Manfred Kraus, Guanda Lin, Michael S. Ruf, and Mao Zeng, “Conservative Binary Dynamics with a Spinning Black Hole at O(G3) from Scattering Amplitudes,” Phys. Rev. Lett. 130, 021601 (2023), arXiv:2205.07357 [hep-th]

    work page arXiv 2023

  52. [53]

    Binary Dynamics through the Fifth Power of Spin at O(G2),

    Zvi Bern, Dimitrios Kosmopoulos, Andr´ es Luna, Radu Roiban, and Fei Teng, “Binary Dynamics through the Fifth Power of Spin at O(G2),” Phys. Rev. Lett. 130, 201402 (2023), arXiv:2203.06202 [hep-th]

    work page arXiv 2023

  53. [54]

    Quantum field theory, worldline theory, and spin mag- nitude change in orbital evolution,

    Zvi Bern, Dimitrios Kosmopoulos, Andres Luna, Radu Roiban, Trevor Scheopner, Fei Teng, and Justin Vines, “Quantum field theory, worldline theory, and spin mag- nitude change in orbital evolution,” Phys. Rev. D 109, 045011 (2024), arXiv:2308.14176 [hep-th]

    work page arXiv 2024

  54. [55]

    NLO deflections for spinning particles and Kerr black holes,

    Gabriel Menezes and Matteo Sergola, “NLO deflections for spinning particles and Kerr black holes,” JHEP 10, 105 (2022), arXiv:2205.11701 [hep-th]

    work page arXiv 2022

  55. [56]

    Gravitational bremsstrahlung from spinning binaries in the post-Minkowskian expansion,

    Massimiliano Maria Riva, Filippo Vernizzi, and Leong Khim Wong, “Gravitational bremsstrahlung from spinning binaries in the post-Minkowskian expansion,” Phys. Rev. D 106, 044013 (2022), arXiv:2205.15295 [hep-th]

    work page arXiv 2022

  56. [57]

    Scattering angles in Kerr metrics,

    Poul H. Damgaard, Jitze Hoogeveen, Andres Luna, and Justin Vines, “Scattering angles in Kerr metrics,” Phys. Rev. D 106, 124030 (2022), arXiv:2208.11028 [hep-th]

    work page arXiv 2022

  57. [58]

    Aoude, K

    Rafael Aoude, Kays Haddad, and Andreas Helset, “Classical Gravitational Spinning-Spinless Scattering at O(G2S∞),” Phys. Rev. Lett. 129, 141102 (2022), arXiv:2205.02809 [hep-th]

    work page arXiv 2022

  58. [59]

    Aoude, K

    Rafael Aoude, Kays Haddad, and Andreas Helset, “Searching for Kerr in the 2PM amplitude,” JHEP 07, 072 (2022), arXiv:2203.06197 [hep-th]

    work page arXiv 2022

  59. [60]

    Scattering in black hole backgrounds and higher-spin amplitudes. Part II,

    Yilber Fabian Bautista, Alfredo Guevara, Chris Ka- vanagh, and Justin Vines, “Scattering in black hole backgrounds and higher-spin amplitudes. Part II,” JHEP 05, 211 (2023), arXiv:2212.07965 [hep-th]

    work page arXiv 2023

  60. [61]

    Boundary to bound dictionary for generic Kerr orbits,

    Riccardo Gonzo and Canxin Shi, “Boundary to bound dictionary for generic Kerr orbits,” Phys. Rev. D 108, 084065 (2023), arXiv:2304.06066 [hep-th]

    work page arXiv 2023

  61. [62]

    Classical gravitational scattering amplitude at O(G2S∞ 1 S∞ 2 ),

    Rafael Aoude, Kays Haddad, and Andreas Helset, “Classical gravitational scattering amplitude at O(G2S∞ 1 S∞ 2 ),” Phys. Rev. D 108, 024050 (2023), arXiv:2304.13740 [hep-th]

    work page arXiv 2023

  62. [63]

    Covariant actions and propaga- tors for all spins, masses, and dimensions,

    Lukas W. Lindwasser, “Covariant actions and propaga- tors for all spins, masses, and dimensions,” Phys. Rev. D 109, 085010 (2024), arXiv:2307.11750 [hep-th]

    work page arXiv 2024

  63. [64]

    Resummed spinning waveforms from five-point amplitudes,

    Andreas Brandhuber, Graham R. Brown, Gang Chen, Joshua Gowdy, and Gabriele Travaglini, “Resummed spinning waveforms from five-point amplitudes,” JHEP 02, 026 (2024), arXiv:2310.04405 [hep-th]

    work page arXiv 2024

  64. [65]

    Spinning waveforms from the Kosower- Maybee-O’Connell formalism at leading order,

    Stefano De Angelis, Pavel P. Novichkov, and Ric- cardo Gonzo, “Spinning waveforms from the Kosower- Maybee-O’Connell formalism at leading order,” Phys. Rev. D 110, L041502 (2024), arXiv:2309.17429 [hep-th]

    work page arXiv 2024

  65. [66]

    Leading-order gravitational radiation to all spin orders,

    Rafael Aoude, Kays Haddad, Carlo Heissenberg, and Andreas Helset, “Leading-order gravitational radiation to all spin orders,” Phys. Rev. D 109, 036007 (2024), arXiv:2310.05832 [hep-th]

    work page arXiv 2024

  66. [67]

    Gravitational Bremsstrahlung in black-hole scattering at O G3 : linear-in-spin effects,

    Lara Bohnenblust, Harald Ita, Manfred Kraus, and Johannes Schlenk, “Gravitational Bremsstrahlung in black-hole scattering at O G3 : linear-in-spin effects,” JHEP 11, 109 (2024), arXiv:2312.14859 [hep-th]

    work page arXiv 2024

  67. [68]

    One-Loop Observables to Higher Order in Spin,

    Juan Pablo Gatica, “One-Loop Observables to Higher Order in Spin,” (2024), arXiv:2412.02034 [hep-th]

    work page arXiv 2024

  68. [69]

    Cristofoli, R

    Andrea Cristofoli, Riccardo Gonzo, Nathan Moynihan, Donal O’Connell, Alasdair Ross, Matteo Sergola, and 9 Chris D. White, “The uncertainty principle and classical amplitudes,” JHEP 06, 181 (2024), arXiv:2112.07556 [hep-th]

    work page arXiv 2024

  69. [70]

    Observables from the spinning eikonal,

    Andres Luna, Nathan Moynihan, Donal O’Connell, and Alasdair Ross, “Observables from the spinning eikonal,” JHEP 08, 045 (2024), arXiv:2312.09960 [hep-th]

    work page arXiv 2024

  70. [71]

    The Eikonal Phase and Spinning Observables,

    Juan Pablo Gatica, “The Eikonal Phase and Spinning Observables,” (2023), arXiv:2312.04680 [hep-th]

    work page arXiv 2023

  71. [72]

    Spin Effects in the Effective Field Theory Approach to Post- Minkowskian Conservative Dynamics,

    Zhengwen Liu, Rafael A. Porto, and Zixin Yang, “Spin Effects in the Effective Field Theory Approach to Post- Minkowskian Conservative Dynamics,” JHEP 06, 012 (2021), arXiv:2102.10059 [hep-th]

    work page arXiv 2021

  72. [73]

    Gravitational Bremsstrahlung and Hid- den Supersymmetry of Spinning Bodies,

    Gustav Uhre Jakobsen, Gustav Mogull, Jan Plefka, and Jan Steinhoff, “Gravitational Bremsstrahlung and Hid- den Supersymmetry of Spinning Bodies,” Phys. Rev. Lett. 128, 011101 (2022), arXiv:2106.10256 [hep-th]

    work page arXiv 2022

  73. [74]

    U., Mogull, G., Plefka, J

    Gustav Uhre Jakobsen, Gustav Mogull, Jan Plefka, and Jan Steinhoff, “SUSY in the sky with gravitons,” JHEP 01, 027 (2022), arXiv:2109.04465 [hep-th]

    work page arXiv 2022

  74. [75]

    Conser- vative and Radiative Dynamics of Spinning Bodies at Third Post-Minkowskian Order Using Worldline Quan- tum Field Theory,

    Gustav Uhre Jakobsen and Gustav Mogull, “Conser- vative and Radiative Dynamics of Spinning Bodies at Third Post-Minkowskian Order Using Worldline Quan- tum Field Theory,” Phys. Rev. Lett. 128, 141102 (2022), arXiv:2201.07778 [hep-th]

    work page arXiv 2022

  75. [76]

    Linear response, Hamiltonian, and radiative spinning two- body dynamics,

    Gustav Uhre Jakobsen and Gustav Mogull, “Linear response, Hamiltonian, and radiative spinning two- body dynamics,” Phys. Rev. D 107, 044033 (2023), arXiv:2210.06451 [hep-th]

    work page arXiv 2023

  76. [77]

    U., Mogull, G., Plefka, J., Sauer, B

    Gustav Uhre Jakobsen, Gustav Mogull, Jan Plefka, Benjamin Sauer, and Yingxuan Xu, “Conservative Scattering of Spinning Black Holes at Fourth Post- Minkowskian Order,” Phys. Rev. Lett. 131, 151401 (2023), arXiv:2306.01714 [hep-th]

    work page arXiv 2023

  77. [78]

    U., Mogull, G., Plefka, J

    Gustav Uhre Jakobsen, Gustav Mogull, Jan Plefka, and Benjamin Sauer, “Dissipative Scattering of Spinning Black Holes at Fourth Post-Minkowskian Order,” Phys. Rev. Lett. 131, 241402 (2023), arXiv:2308.11514 [hep- th]

    work page arXiv 2023

  78. [79]

    Angular momentum loss due to spin-orbit effects in the post-Minkowskian expansion,

    Carlo Heissenberg, “Angular momentum loss due to spin-orbit effects in the post-Minkowskian expansion,” Phys. Rev. D 108, 106003 (2023), arXiv:2308.11470 [hep-th]

    work page arXiv 2023

  79. [80]

    Consistent actions for massive particles interacting with electromagnetism and grav- ity,

    Lukas W. Lindwasser, “Consistent actions for massive particles interacting with electromagnetism and grav- ity,” JHEP 08, 081 (2024), arXiv:2309.03901 [hep-th]

    work page arXiv 2024

  80. [81]

    Black hole per- turbation theory meets CFT2: Kerr-Compton ampli- tudes from Nekrasov-Shatashvili functions,

    Yilber Fabian Bautista, Giulio Bonelli, Cristoforo Iossa, Alessandro Tanzini, and Zihan Zhou, “Black hole per- turbation theory meets CFT2: Kerr-Compton ampli- tudes from Nekrasov-Shatashvili functions,” Phys. Rev. D 109, 084071 (2024), arXiv:2312.05965 [hep-th]

    work page arXiv 2024

Showing first 80 references.