arxiv: 2604.08679 · v1 · submitted 2026-04-09 · 🌀 gr-qc · astro-ph.HE· hep-ph· hep-th

Recognition: unknown

Tidal Response of Compact Objects

Sumanta Chakraborty , Paolo Pani

Authors on Pith no claims yet

Pith reviewed 2026-05-10 17:12 UTC · model grok-4.3

classification 🌀 gr-qc astro-ph.HEhep-phhep-th

keywords tidal Love numberscompact objectsblack holesneutron starsexotic compact objectsgravitational wavesGeneral Relativitytidal deformability

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The pith

Static bosonic Love numbers vanish for black holes in vacuum General Relativity while remaining nonzero for fermionic perturbations and other compact objects.

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

The review assembles current knowledge on how compact objects deform under external gravitational tides, quantified by Love numbers for the static part and dissipation numbers for the dynamical part. It establishes that black holes in pure vacuum GR exhibit zero static response to bosonic fields, a property that fails for neutron stars whose Love numbers depend on the equation of state, for rotating or nonlinear cases, and for exotic compact objects. Fermionic perturbations produce nonzero static Love numbers even on black holes, creating a sharp bosonic-fermionic distinction. These tidal imprints modify gravitational-wave waveforms from binary inspirals and therefore supply observables for testing General Relativity, constraining nuclear matter, and identifying deviations from standard black-hole behavior.

Core claim

The tidal response of compact objects, encoded in Love numbers and dissipation numbers, vanishes for static bosonic perturbations on black holes in vacuum General Relativity; the same response is generically nonzero for fermionic perturbations on black holes, for neutron stars as a function of their equation of state, and for exotic compact objects, thereby providing a diagnostic of internal structure and of possible departures from Einstein gravity.

What carries the argument

Love numbers and dissipation numbers, which quantify the linear static and dynamical tidal deformations induced by an external gravitational field.

If this is right

Tidal Love numbers extracted from binary inspirals can test deviations from General Relativity and constrain environmental effects around compact objects.
Quasi-universal relations among neutron-star Love numbers and other observables allow equation-of-state constraints independent of specific stellar models.
Nonvanishing static Love numbers serve as a direct observational signature distinguishing exotic compact objects from black holes.
Rotation, nonlinearities, and dynamical tides introduce corrections that must be included in waveform models for current and future detectors.

Where Pith is reading between the lines

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

Detection of nonzero Love numbers in a high-signal-to-noise event could rule out vacuum black holes without requiring full waveform reconstruction.
The bosonic-fermionic distinction may motivate targeted searches for fermionic fields in strong-gravity environments.
Environmental matter or modified gravity could restore nonzero Love numbers to black holes, offering a route to test both effects simultaneously.

Load-bearing premise

The assumption that the body of prior literature reviewed in the paper accurately and completely captures the current state of knowledge on tidal responses without significant omissions or biases in the cited works.

What would settle it

A gravitational-wave measurement of nonzero static tidal Love numbers extracted from the inspiral phase of a confirmed black-hole binary would falsify the vanishing claim for bosonic perturbations in vacuum General Relativity.

Figures

Figures reproduced from arXiv: 2604.08679 by Paolo Pani, Sumanta Chakraborty.

**Figure 5.** Figure 5: FIG. 5. Probability density for the tidal deformability parameters of the high and low mass components inferred from the detected Fig. 13 Probability density for the tidal deformability parameters of the high and fd fGW77lFh bΛ 2 k E /C5 [PITH_FULL_IMAGE:figures/full_fig_p196_5.png] view at source ↗

read the original abstract

The tidal response of compact objects provides a powerful probe of their internal structure and of the surrounding gravitational field. We provide a comprehensive and unified overview of tidal effects in black holes, neutron stars, and exotic compact objects, with emphasis on both static and dynamical responses to external fields, encoded in Love numbers and dissipation numbers. We discuss the vanishing of static bosonic Love numbers for black holes in vacuum General Relativity, their modifications in alternative theories, in non-standard models of compact objects, and in the presence of matter, as well as their role in testing deviations from Einstein's theory and environmental effects. A fundamental distinction between bosonic and fermionic perturbations is highlighted, as the latter yield nonzero static Love numbers even for black holes in General Relativity. For neutron stars, we overview the dependence of tidal Love numbers on the equation of state, the emergence of quasi-universal relations, and the impact of rotation, nonlinearities, and dynamical effects. Exotic compact objects typically feature nonvanishing static tidal Love numbers -- a striking observational signature that differentiates them from black holes. We further review how tidal effects influence the gravitational-wave signals from binary inspirals, and explore their implications for gravitational-wave astronomy. In particular, we stress their significance for current and future detectors as tools to test General Relativity, constrain the nuclear equation of state, and probe the fundamental nature of compact objects and their environments.

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.

Desk Editor's Note private letter to a colleague

This is a review that compiles known results on tidal Love numbers for black holes, neutron stars, and exotic objects without new derivations or checks.

read the letter

This paper is a review pulling together existing work on how compact objects respond to tidal fields, encoded in Love numbers and dissipation numbers. The core points are the vanishing of static bosonic Love numbers for vacuum black holes in GR, the nonzero values that appear for fermionic perturbations even in GR, and the typically nonzero numbers for exotic compact objects. It also covers the equation-of-state dependence for neutron stars, quasi-universal relations, and how these effects show up in gravitational-wave signals from binaries. That synthesis is the main contribution; the authors do not derive new formulas or run new calculations. What the paper does well is lay out the distinctions clearly and tie them to observable consequences for current and future detectors, including tests of GR and constraints on the nuclear equation of state. The bosonic-versus-fermionic split is presented as a useful organizing fact drawn from prior literature. The soft spots are the usual ones for a review: its reliability rests on the completeness and accuracy of the cited papers, and there is no independent cross-check or error analysis supplied here. If recent results on dynamical tides or nonlinear effects have been missed, that would only surface after a referee checks the references. The abstract and structure suggest the authors aimed for a broad but not exhaustive overview. This work is for people who need a single reference on tidal responses when analyzing binary mergers or modeling exotic objects. A reader already familiar with the literature might skim it for the unified framing, while someone entering the area would find it a reasonable starting point. I would send it to peer review; the topic is timely for gravitational-wave astronomy and the compilation looks organized enough to be worth referee time even if it needs some citation updates.

Referee Report

0 major / 3 minor

Summary. The manuscript is a comprehensive review synthesizing results on the tidal response of compact objects, encoded in Love numbers and dissipation numbers. It covers static and dynamical responses for black holes in vacuum GR (where static bosonic Love numbers vanish but fermionic ones do not), modifications in alternative theories or with matter, neutron stars (including EOS dependence, quasi-universal relations, rotation, and nonlinear effects), and exotic compact objects (which typically have nonvanishing static Love numbers). The review discusses implications for gravitational-wave signals from binary inspirals and applications to testing GR, constraining the nuclear EOS, and probing compact object nature with current and future detectors.

Significance. As a unified overview drawing on prior literature, the review could serve as a useful reference for gravitational-wave astronomy and compact-object physics if the synthesis is accurate and balanced. It correctly highlights key distinctions (e.g., bosonic vs. fermionic perturbations for black holes and the signature of exotic objects) and their observational relevance, providing context for how tidal effects can probe deviations from GR and environmental influences.

minor comments (3)

The abstract is dense; consider splitting the discussion of bosonic/fermionic distinctions and exotic objects into separate sentences for improved readability.
A summary table comparing static Love numbers across black holes, neutron stars, and exotic compact objects (with references to key results) would enhance the overview in the main text.
Ensure that citations to recent works on dynamical tides and nonlinear effects are up to date, as the field evolves rapidly.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for their positive assessment of our manuscript as a comprehensive review on tidal responses of compact objects, including the distinctions between bosonic and fermionic Love numbers, implications for neutron stars, exotic objects, and gravitational-wave astronomy. We note the recommendation for minor revision and will incorporate any editorial improvements in the updated version.

Circularity Check

0 steps flagged

Review paper synthesizing prior literature; no new derivations or self-referential predictions

full rationale

The manuscript is explicitly a review providing an overview of tidal Love numbers and dissipation numbers drawn from existing literature on black holes, neutron stars, and exotic compact objects. No novel equations, fitted parameters, or predictions are derived within the paper; all central distinctions (e.g., vanishing bosonic static Love numbers for vacuum GR black holes versus nonzero fermionic ones) are presented as compilations of prior results. No load-bearing steps reduce by construction to inputs defined in this work, and self-citations (if present) serve only as references to independently established findings rather than as the sole justification for new claims.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

This is a review paper summarizing existing research on tidal effects in compact objects. No new free parameters, axioms, or invented entities are introduced by this work itself.

pith-pipeline@v0.9.0 · 5542 in / 1155 out tokens · 61922 ms · 2026-05-10T17:12:33.857279+00:00 · methodology

discussion (0)

Forward citations

Cited by 4 Pith papers

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

Gravitational-Bumblebee perturbations: Exact decoupling and isospectrality
gr-qc 2026-05 unverdicted novelty 7.0

Bumblebee gravity perturbations decouple exactly into gravitational and vector sectors, with gravitational modes dynamically immune to Lorentz violation and odd-even parities strictly isospectral.
Axial tidal Love numbers of black holes in matter environments
gr-qc 2026-05 unverdicted novelty 7.0

Axial tidal Love numbers for black holes in anisotropic fluid environments are derived analytically and numerically, with non-compact support density profiles producing logarithmic terms that obstruct standard tidal m...
Dynamical tidal Love numbers of black holes under generic perturbations: Connecting black hole perturbation theory with effective field theory
gr-qc 2026-05 unverdicted novelty 7.0

Dynamical tidal Love numbers for Kerr black holes are obtained to linear frequency order by matching EFT worldline couplings to black-hole perturbation solutions, including spin-induced mode mixing.
Static Tidal Perturbations of Relativistic Stars: Corrected Center Expansion and Love Numbers-I
gr-qc 2026-04 conditional novelty 4.0

Corrects the subleading term in the center Frobenius expansion for interior even-parity perturbations of relativistic stars without altering computed Love numbers k2, while extending the static even-parity formalism t...

Reference graph

Works this paper leans on

300 extracted references · 292 canonical work pages · cited by 4 Pith papers · 9 internal anchors

[1]

New and robust gravitational-waveform model for high-mass-ratio binary neutron star systems with dynamical tidal effects,

Abac A, Dietrich T, Buonanno A, et al (2024) New and robust gravitational-waveform model for high-mass-ratio binary neutron star systems with dynamical tidal effects . Phys Rev D 109(2):024062. doi:10.1103/PhysRevD.109.024062, https://arxiv.org/abs/2311.07456 arXiv:2311.07456 [gr-qc]

work page doi:10.1103/physrevd.109.024062 2024
[2]

Phys Rev D 112(10):104026

Abac A, Ramis Vidal FA, Colleoni M, et al (2025 a ) Leveraging NRTidalv3 to develop gravitational waveform models with higher-order modes for binary neutron star systems . Phys Rev D 112(10):104026. doi:10.1103/hzn7-39js, https://arxiv.org/abs/2507.15426 arXiv:2507.15426 [gr-qc]

work page doi:10.1103/hzn7-39js 2025
[3]

The Science of the Einstein Telescope

Abac A, et al (2025 b ) The Science of the Einstein Telescope . arXiv e-prints https://arxiv.org/abs/2503.12263 arXiv:2503.12263 [gr-qc]

work page internal anchor Pith review Pith/arXiv arXiv 2025
[4]

GWTC-4.0: Updating the Gravitational-Wave Transient Catalog with Observations from the First Part of the Fourth LIGO-Virgo-KAGRA Observing Run

Abac AG, et al (2025 c ) GWTC-4.0: Updating the Gravitational-Wave Transient Catalog with Observations from the First Part of the Fourth LIGO-Virgo-KAGRA Observing Run . arXiv e-prints https://arxiv.org/abs/2508.18082 arXiv:2508.18082 [gr-qc]

work page internal anchor Pith review arXiv 2025
[5]

2017, PhRvL, 119, 161101, doi: 10.1103/PhysRevLett.119.161101

Abbott BP, et al (2017) GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral . Phys Rev Lett 119(16):161101. doi:10.1103/PhysRevLett.119.161101, https://arxiv.org/abs/1710.05832 arXiv:1710.05832 [gr-qc]

work page doi:10.1103/physrevlett.119.161101 2017
[6]

, keywords =

Abbott BP, et al (2018) GW170817: Measurements of neutron star radii and equation of state . Phys Rev Lett 121(16):161101. doi:10.1103/PhysRevLett.121.161101, https://arxiv.org/abs/1805.11581 arXiv:1805.11581 [gr-qc]

work page doi:10.1103/physrevlett.121.161101 2018
[7]

P., Abbott, R., Abbott, T

Abbott BP, et al (2019) Properties of the binary neutron star merger GW170817 . Phys Rev X9(1):011001. doi:10.1103/PhysRevX.9.011001, https://arxiv.org/abs/1805.11579 arXiv:1805.11579 [gr-qc]

work page doi:10.1103/physrevx.9.011001 2019
[8]

SoftwareX 13:100658

Abbott R, et al (2021) Open data from the first and second observing runs of Advanced LIGO and Advanced Virgo . SoftwareX 13:100658. doi:10.1016/j.softx.2021.100658, https://arxiv.org/abs/1912.11716 arXiv:1912.11716 [gr-qc]

work page doi:10.1016/j.softx.2021.100658 2021
[9]

Phys Rev D 98(10):104046

Abdelsalhin T, Gualtieri L, Pani P (2018) Post-Newtonian spin-tidal couplings for compact binaries . Phys Rev D 98(10):104046. doi:10.1103/PhysRevD.98.104046, https://arxiv.org/abs/1805.01487 arXiv:1805.01487 [gr-qc]

work page doi:10.1103/physrevd.98.104046 2018
[10]

doi:10.1103/PhysRevLett.122.081301, https://arxiv.org/abs/1810.10417 arXiv:1810.10417 [gr-qc]

Addazi A, Marciano A, Yunes N (2019) Can we probe Planckian corrections at the horizon scale with gravitational waves? Phys Rev Lett 122(8):081301. doi:10.1103/PhysRevLett.122.081301, https://arxiv.org/abs/1810.10417 arXiv:1810.10417 [gr-qc]

work page doi:10.1103/physrevlett.122.081301 2019
[11]

Physical Review Letters 126(4):041302

Agullo I, Cardoso V, Rio Ad, et al (2021) Potential gravitational wave signatures of quantum gravity. Physical Review Letters 126(4):041302. doi:10.1103/physrevlett.126.041302, https://arxiv.org/abs/2007.13761 2007.13761

work page doi:10.1103/physrevlett.126.041302 2021
[12]

Phys Rev D 106(12):124002

Ajith S, Yagi K, Yunes N (2022) I-Love-Q relations in Ho r ava-Lifshitz gravity . Phys Rev D 106(12):124002. doi:10.1103/PhysRevD.106.124002, https://arxiv.org/abs/2207.05858 arXiv:2207.05858 [gr-qc]

work page doi:10.1103/physrevd.106.124002 2022
[13]

Phys Rev D 99(4):044051

Akcay S, Bernuzzi S, Messina F, et al (2019) Effective-one-body multipolar waveform for tidally interacting binary neutron stars up to merger . Phys Rev D 99(4):044051. doi:10.1103/PhysRevD.99.044051, https://arxiv.org/abs/1812.02744 arXiv:1812.02744 [gr-qc]

work page doi:10.1103/physrevd.99.044051 2019
[14]

5-Dimensional Gravitational Raman Scattering: Scalar Wave Perturbations in Schwarzschild-Tangherlini Spacetime

Akhtar S, Bautista YF, Iossa C, et al (2025) Five-dimensional gravitational Raman scattering: Scalar wave perturbations in Schwarzschild-Tangherlini spacetime . Phys Rev D 112(8):085018. doi:10.1103/rglg-kfxq, https://arxiv.org/abs/2505.21489 arXiv:2505.21489 [hep-th]

work page internal anchor Pith review Pith/arXiv arXiv doi:10.1103/rglg-kfxq 2025
[15]

Phys Rev D 112(12):L121503

Albanesi S, Gamba R, Bernuzzi S, et al (2025) Effective-one-body modeling for generic compact binaries with arbitrary orbits . Phys Rev D 112(12):L121503. doi:10.1103/3snf-w1x7, https://arxiv.org/abs/2503.14580 arXiv:2503.14580 [gr-qc]

work page doi:10.1103/3snf-w1x7 2025
[16]

Chern-Simons Modified General Relativity

Alexander S, Yunes N (2009) Chern-Simons Modified General Relativity . Phys Rept 480:1--55. doi:10.1016/j.physrep.2009.07.002, https://arxiv.org/abs/0907.2562 arXiv:0907.2562 [hep-th]

work page doi:10.1016/j.physrep.2009.07.002 2009
[17]

Phys Rev D 64:104020

Alvi K (2001) Energy and angular momentum flow into a black hole in a binary . Phys Rev D 64:104020. doi:10.1103/PhysRevD.64.104020, https://arxiv.org/abs/gr-qc/0107080 arXiv:gr-qc/0107080 [gr-qc]

work page doi:10.1103/physrevd.64.104020 2001
[18]

Phys Rev Lett 94:061301

Anderson PR, Balbinot R, Fabbri A (2005) Cutoff AdS/CFT duality and the quest for braneworld black holes . Phys Rev Lett 94:061301. doi:10.1103/PhysRevLett.94.061301, https://arxiv.org/abs/hep-th/0410034 arXiv:hep-th/0410034

work page doi:10.1103/physrevlett.94.061301 2005
[19]

Phys Rev D 101(8):083001

Andersson N, Pnigouras P (2020) Exploring the effective tidal deformability of neutron stars . Phys Rev D 101(8):083001. doi:10.1103/PhysRevD.101.083001, https://arxiv.org/abs/1906.08982 arXiv:1906.08982 [astro-ph.HE]

work page doi:10.1103/physrevd.101.083001 2020
[20]

Mon Not Roy Astron Soc 503(1):533--539

Andersson N, Pnigouras P (2021) The phenomenology of dynamical neutron star tides . Mon Not Roy Astron Soc 503(1):533--539. doi:10.1093/mnras/stab371, https://arxiv.org/abs/1905.00012 arXiv:1905.00012 [gr-qc]

work page doi:10.1093/mnras/stab371 2021
[21]

JHEP 07:063

Andrade T, Pantelidou C, Sonner J, et al (2021) Driven black holes: from Kolmogorov scaling to turbulent wakes . JHEP 07:063. doi:10.1007/JHEP07(2021)063, https://arxiv.org/abs/1912.00032 arXiv:1912.00032 [hep-th]

work page doi:10.1007/jhep07(2021)063 2021
[22]

Andr´ es-Carcasona and G

Andr \'e s-Carcasona M, Caneva Santoro G (2025) No Love for black holes: tightest constraints on tidal Love numbers of black holes from GW250114 . arXiv e-prints https://arxiv.org/abs/2512.01918 arXiv:2512.01918 [gr-qc]

work page arXiv 2025
[23]

Phys Rev D 111(4):044013

Arana R, Brito R, Castro G (2025) Tidal Love numbers of gravitational atoms . Phys Rev D 111(4):044013. doi:10.1103/PhysRevD.111.044013, https://arxiv.org/abs/2410.00968 arXiv:2410.00968 [gr-qc]

work page doi:10.1103/physrevd.111.044013 2025
[24]

V: Extreme mass-ratio inspirals

Babak S, Gair J, Sesana A, et al (2017) Science with the space-based interferometer LISA. V: Extreme mass-ratio inspirals . Phys Rev D 95(10):103012. doi:10.1103/PhysRevD.95.103012, https://arxiv.org/abs/1703.09722 arXiv:1703.09722 [gr-qc]

work page doi:10.1103/physrevd.95.103012 2017
[25]

JHEP 09:128

Bah I, Heidmann P (2021 a ) Smooth bubbling geometries without supersymmetry . JHEP 09:128. doi:10.1007/JHEP09(2021)128, https://arxiv.org/abs/2106.05118 arXiv:2106.05118 [hep-th]

work page doi:10.1007/jhep09(2021)128 2021
[26]

Phys Rev Lett 126(15):151101

Bah I, Heidmann P (2021 b ) Topological Stars and Black Holes . Phys Rev Lett 126(15):151101. doi:10.1103/PhysRevLett.126.151101, https://arxiv.org/abs/2011.08851 arXiv:2011.08851 [hep-th]

work page doi:10.1103/physrevlett.126.151101 2021
[27]

JHEP 08:269

Bah I, Heidmann P, Weck P (2022) Schwarzschild-like topological solitons . JHEP 08:269. doi:10.1007/JHEP08(2022)269, https://arxiv.org/abs/2203.12625 arXiv:2203.12625 [hep-th]

work page doi:10.1007/jhep08(2022)269 2022
[28]

Bambi et al.,Black hole mimickers: from theory to observation, 5, 2025 [2505.09014]

Bambi C, et al (2025) Black hole mimickers: from theory to observation . arXiv e-prints https://arxiv.org/abs/2505.09014 arXiv:2505.09014 [gr-qc]

work page arXiv 2025
[29]

Phys Rev Lett 105:011101

Banados M, Ferreira PG (2010) Eddington's theory of gravity and its progeny . Phys Rev Lett 105:011101. doi:10.1103/PhysRevLett.105.011101, [Erratum: Phys.Rev.Lett. 113, 119901 (2014)], https://arxiv.org/abs/1006.1769 arXiv:1006.1769 [astro-ph.CO]

work page doi:10.1103/physrevlett.105.011101 2010
[30]

Phys Rev D 101(6):064003

Banihashemi B, Vines J (2020) Gravitomagnetic tidal effects in gravitational waves from neutron star binaries . Phys Rev D 101(6):064003. doi:10.1103/PhysRevD.101.064003, https://arxiv.org/abs/1805.07266 arXiv:1805.07266 [gr-qc]

work page doi:10.1103/physrevd.101.064003 2020
[31]

doi:10.1103/PhysRevD.89.104059, https://arxiv.org/abs/1404.7149 arXiv:1404.7149 [gr-qc]

Barausse E, Cardoso V, Pani P (2014) Can environmental effects spoil precision gravitational-wave astrophysics? Phys Rev D 89(10):104059. doi:10.1103/PhysRevD.89.104059, https://arxiv.org/abs/1404.7149 arXiv:1404.7149 [gr-qc]

work page doi:10.1103/physrevd.89.104059 2014
[32]

JCAP 07:071

Barbosa S, Brax P, Fichet S, et al (2025) Running Love numbers and the Effective Field Theory of gravity . JCAP 07:071. doi:10.1088/1475-7516/2025/07/071, https://arxiv.org/abs/2501.18684 arXiv:2501.18684 [hep-th]

work page doi:10.1088/1475-7516/2025/07/071 2025
[33]

Running Love Numbers of Charged Black Holes,

Barbosa S, Fichet S, de Souza L (2026) Running Love Numbers of Charged Black Holes . arXiv e-prints https://arxiv.org/abs/2602.00349 arXiv:2602.00349 [hep-th]

work page arXiv 2026
[34]

Phys Rev D 99(4):044001

Baumann D, Chia HS, Porto RA (2019) Probing Ultralight Bosons with Binary Black Holes . Phys Rev D 99(4):044001. doi:10.1103/PhysRevD.99.044001, https://arxiv.org/abs/1804.03208 arXiv:1804.03208 [gr-qc]

work page doi:10.1103/physrevd.99.044001 2019
[35]

Bekenstein JD (1972 a ) Nonexistence of baryon number for black holes. ii . Phys Rev D 5:2403--2412. doi:10.1103/PhysRevD.5.2403

work page doi:10.1103/physrevd.5.2403 1972
[36]

Phys Rev D 5:1239--1246

Bekenstein JD (1972 b ) Nonexistence of baryon number for static black holes . Phys Rev D 5:1239--1246. doi:10.1103/PhysRevD.5.1239

work page doi:10.1103/physrevd.5.1239 1972
[37]

, title =

Bekenstein JD (1973) Black holes and entropy . Phys Rev D 7:2333--2346. doi:10.1103/PhysRevD.7.2333

work page doi:10.1103/physrevd.7.2333 1973
[38]

Phys Lett B 360:7--12

Bekenstein JD, Mukhanov VF (1995) Spectroscopy of the quantum black hole . Phys Lett B 360:7--12. doi:10.1016/0370-2693(95)01148-J, https://arxiv.org/abs/gr-qc/9505012 arXiv:gr-qc/9505012 [gr-qc]

work page doi:10.1016/0370-2693(95)01148-j 1995
[39]

JHEP 07:112

Ben Achour J, Livine ER, Mukohyama S, et al (2022) Hidden symmetry of the static response of black holes: applications to Love numbers . JHEP 07:112. doi:10.1007/JHEP07(2022)112, https://arxiv.org/abs/2202.12828 arXiv:2202.12828 [gr-qc]

work page doi:10.1007/jhep07(2022)112 2022
[40]

JHEP 11:042

Bena I, Wang CW, Warner NP (2006) Mergers and typical black hole microstates . JHEP 11:042. doi:10.1088/1126-6708/2006/11/042, https://arxiv.org/abs/hep-th/0608217 arXiv:hep-th/0608217

work page doi:10.1088/1126-6708/2006/11/042 2006
[41]

Phys Rev Lett 117(20):201601

Bena I, Giusto S, Martinec EJ, et al (2016) Smooth horizonless geometries deep inside the black-hole regime . Phys Rev Lett 117(20):201601. doi:10.1103/PhysRevLett.117.201601, https://arxiv.org/abs/1607.03908 arXiv:1607.03908 [hep-th]

work page doi:10.1103/physrevlett.117.201601 2016
[42]

JHEP 02:014

Bena I, Giusto S, Martinec EJ, et al (2018) Asymptotically-flat supergravity solutions deep inside the black-hole regime . JHEP 02:014. doi:10.1007/JHEP02(2018)014, https://arxiv.org/abs/1711.10474 arXiv:1711.10474 [hep-th]

work page doi:10.1007/jhep02(2018)014 2018
[43]

Fuzzballs and Microstate Geometries: Black-Hole Structure in String Theory,

Bena I, Martinec EJ, Mathur SD, et al (2022 a ) Fuzzballs and Microstate Geometries: Black-Hole Structure in String Theory . arXiv e-prints https://arxiv.org/abs/2204.13113 arXiv:2204.13113 [hep-th]

work page arXiv 2022
[44]

Snowmass White Paper: Micro- and Macro-Structure of Black Holes,

Bena I, Martinec EJ, Mathur SD, et al (2022 b ) Snowmass White Paper: Micro- and Macro-Structure of Black Holes . arXiv e-prints https://arxiv.org/abs/2203.04981 arXiv:2203.04981 [hep-th]

work page arXiv 2022
[45]

JCAP 06:056

Berens R, Hui L, Sun Z (2023) Ladder symmetries of black holes and de Sitter space: love numbers and quasinormal modes . JCAP 06:056. doi:10.1088/1475-7516/2023/06/056, https://arxiv.org/abs/2212.09367 arXiv:2212.09367 [hep-th]

work page doi:10.1088/1475-7516/2023/06/056 2023
[46]

Geometric Symmetries for the Vanishing of the Black Hole Tidal Love Numbers,

Berens R, Hui L, McLoughlin D, et al (2025 a ) Geometric Symmetries for the Vanishing of the Black Hole Tidal Love Numbers . arXiv e-prints https://arxiv.org/abs/2510.18952 arXiv:2510.18952 [hep-th]

work page arXiv 2025
[47]

preprint https://arxiv.org/abs/2510.26748 arXiv:2510.26748 [hep-th]

Berens R, Hui L, McLoughlin D, et al (2025 b ) Ladder Symmetries of Higher Dimensional Black Holes . preprint https://arxiv.org/abs/2510.26748 arXiv:2510.26748 [hep-th]

work page arXiv 2025
[48]

Phys Rev Lett 114(16):161103

Bernuzzi S, Nagar A, Dietrich T, et al (2015) Modeling the Dynamics of Tidally Interacting Binary Neutron Stars up to the Merger . Phys Rev Lett 114(16):161103. doi:10.1103/PhysRevLett.114.161103, https://arxiv.org/abs/1412.4553 arXiv:1412.4553 [gr-qc]

work page doi:10.1103/physrevlett.114.161103 2015
[49]

PhysRev D 73:024013

Berti E, Cardoso V, Casals M (2006) Eigenvalues and eigenfunctions of spin-weighted spheroidal harmonics in four and higher dimensions . PhysRev D 73:024013. doi:10.1103/PhysRevD.73.109902, 10.1103/PhysRevD.73.024013, https://arxiv.org/abs/gr-qc/0511111 arXiv:gr-qc/0511111 [gr-qc]

work page doi:10.1103/physrevd.73.109902 2006
[50]

Phys Rev D 109(12):124008

Berti E, De Luca V, Del Grosso L, et al (2024) Tidal Love numbers and approximate universal relations for fermion soliton stars . Phys Rev D 109(12):124008. doi:10.1103/PhysRevD.109.124008, https://arxiv.org/abs/2404.06979 arXiv:2404.06979 [gr-qc]

work page doi:10.1103/physrevd.109.124008 2024
[51]

Berti, et al., Class

Berti E, et al (2015) Testing General Relativity with Present and Future Astrophysical Observations . Class Quant Grav 32:243001. doi:10.1088/0264-9381/32/24/243001, https://arxiv.org/abs/1501.07274 arXiv:1501.07274 [gr-qc]

work page doi:10.1088/0264-9381/32/24/243001 2015
[52]

Phys Rev D 85:064018

Bertini S, Cacciatori SL, Klemm D (2012) Conformal structure of the Schwarzschild black hole . Phys Rev D 85:064018. doi:10.1103/PhysRevD.85.064018, https://arxiv.org/abs/1106.0999 arXiv:1106.0999 [hep-th]

work page doi:10.1103/physrevd.85.064018 2012
[53]

JHEP 11:154

Bhatt RP, Singha C (2024) Scalar tidal response of a rotating BTZ black hole . JHEP 11:154. doi:10.1007/JHEP11(2024)154, https://arxiv.org/abs/2407.09470 arXiv:2407.09470 [gr-qc]

work page doi:10.1007/jhep11(2024)154 2024
[54]

Phys Rev D 108(8):084013

Bhatt RP, Chakraborty S, Bose S (2023) Addressing issues in defining the Love numbers for black holes . Phys Rev D 108(8):084013. doi:10.1103/PhysRevD.108.084013, https://arxiv.org/abs/2306.13627 arXiv:2306.13627 [gr-qc]

work page doi:10.1103/physrevd.108.084013 2023
[55]

Response of a Kerr black hole to a generic tidal perturbation,

Bhatt RP, Chakraborty S, Bose S (2024) Response of a Kerr black hole to a generic tidal perturbation . arXiv e-prints https://arxiv.org/abs/2412.15117 arXiv:2412.15117 [gr-qc]

work page arXiv 2024
[56]

Phys Rev D 111(4):L041504

Bhatt RP, Chakraborty S, Bose S (2025) Rotating black holes experience dynamical tides . Phys Rev D 111(4):L041504. doi:10.1103/PhysRevD.111.L041504, https://arxiv.org/abs/2406.09543 arXiv:2406.09543 [gr-qc]

work page doi:10.1103/physrevd.111.l041504 2025
[57]

JHEP 11:155

Bhattacharyya A, Ghosh S, Kumar N, et al (2025) Love beyond Einstein: metric reconstruction and Love number in quadratic gravity using WEFT . JHEP 11:155. doi:10.1007/JHEP11(2025)155, https://arxiv.org/abs/2508.02785 arXiv:2508.02785 [hep-th]

work page doi:10.1007/jhep11(2025)155 2025
[58]

preprint https://arxiv.org/abs/2603.24719 arXiv:2603.24719 [hep-th]

Bhattacharyya A, Kumar N, Kumar S (2026) Dynamical Tidal Response of Regular Black Holes: Perturbative Analysis and Shell EFT Interpretation . preprint https://arxiv.org/abs/2603.24719 arXiv:2603.24719 [hep-th]

work page arXiv 2026
[59]

JHEP 12:121

Bianchi M, Di Russo G, Grillo A, et al (2023) On the stability and deformability of top stars . JHEP 12:121. doi:10.1007/JHEP12(2023)121, https://arxiv.org/abs/2305.15105 arXiv:2305.15105 [gr-qc]

work page doi:10.1007/jhep12(2023)121 2023
[60]

Phys Rev D 90(12):124037

Bini D, Damour T (2014) Gravitational self-force corrections to two-body tidal interactions and the effective one-body formalism . Phys Rev D 90(12):124037. doi:10.1103/PhysRevD.90.124037, https://arxiv.org/abs/1409.6933 arXiv:1409.6933 [gr-qc]

work page doi:10.1103/physrevd.90.124037 2014
[61]

Phys Rev D 85:124034

Bini D, Damour T, Faye G (2012) Effective action approach to higher-order relativistic tidal interactions in binary systems and their effective one body description . Phys Rev D 85:124034. doi:10.1103/PhysRevD.85.124034, https://arxiv.org/abs/1202.3565 arXiv:1202.3565 [gr-qc]

work page doi:10.1103/physrevd.85.124034 2012
[62]

Phys Rev D 80:084018

Binnington T, Poisson E (2009) Relativistic theory of tidal Love numbers . Phys Rev D 80:084018. doi:10.1103/PhysRevD.80.084018, https://arxiv.org/abs/0906.1366 arXiv:0906.1366 [gr-qc]

work page doi:10.1103/physrevd.80.084018 2009
[63]

Living Rev Rel 17:2

Blanchet L (2014) Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries . Living Rev Rel 17:2. doi:10.12942/lrr-2014-2, https://arxiv.org/abs/1310.1528 arXiv:1310.1528 [gr-qc]

work page doi:10.12942/lrr-2014-2 2014
[64]

Phys Rev D 108(6):064041

Blanchet L, Faye G, Henry Q, et al (2023) Gravitational-wave flux and quadrupole modes from quasicircular nonspinning compact binaries to the fourth post-Newtonian order . Phys Rev D 108(6):064041. doi:10.1103/PhysRevD.108.064041, https://arxiv.org/abs/2304.11186 arXiv:2304.11186 [gr-qc]

work page doi:10.1103/physrevd.108.064041 2023
[65]

and Copin, Y

Blok WJGd, Bosma A, McGaugh SS (2003) Simulating observations of dark matter dominated galaxies: towards the optimal halo profile . Mon Not Roy Astron Soc 340:657--678. doi:10.1046/j.1365-8711.2003.06330.x, https://arxiv.org/abs/astro-ph/0212102 arXiv:astro-ph/0212102

work page doi:10.1046/j.1365-8711.2003.06330.x 2003
[66]

Phys Rev D 105(4):044047

Bonelli G, Iossa C, Lichtig DP, et al (2022) Exact solution of Kerr black hole perturbations via CFT2 and instanton counting: Greybody factor, quasinormal modes, and Love numbers . Phys Rev D 105(4):044047. doi:10.1103/PhysRevD.105.044047, https://arxiv.org/abs/2105.04483 arXiv:2105.04483 [hep-th]

work page doi:10.1103/physrevd.105.044047 2022
[67]

String-Generated Gravity Models

Boulware DG, Deser S (1985) String Generated Gravity Models . Phys Rev Lett 55:2656. doi:10.1103/PhysRevLett.55.2656

work page doi:10.1103/physrevlett.55.2656 1985
[68]

Science with the Einstein Telescope: a comparison of different designs

Branchesi M, et al (2023) Science with the Einstein Telescope: a comparison of different designs . JCAP 07:068. doi:10.1088/1475-7516/2023/07/068, https://arxiv.org/abs/2303.15923 arXiv:2303.15923 [gr-qc]

work page doi:10.1088/1475-7516/2023/07/068 2023
[69]

JHEP 04:019

Bredberg I, Hartman T, Song W, et al (2010) Black Hole Superradiance From Kerr/CFT . JHEP 04:019. doi:10.1007/JHEP04(2010)019, https://arxiv.org/abs/0907.3477 arXiv:0907.3477 [hep-th]

work page doi:10.1007/jhep04(2010)019 2010
[70]

arXiv e-prints https://arxiv.org/abs/2602.04951 arXiv:2602.04951 [gr-qc]

Bretz J, Yu H (2026) Impact on Inferred Neutron Star Equation of State due to Nonlinear Hydrodynamics, Background Spin, and Relativity . arXiv e-prints https://arxiv.org/abs/2602.04951 arXiv:2602.04951 [gr-qc]

work page arXiv 2026
[71]

Proceedings of the Royal Society of London Series A 358(1692):71--86

Breuer RA, Ryan MPJr., Waller S (1977) Some Properties of Spin-Weighted Spheroidal Harmonics . Proceedings of the Royal Society of London Series A 358(1692):71--86. doi:10.1098/rspa.1977.0187

work page doi:10.1098/rspa.1977.0187 1977
[72]

Rev Mod Phys 29:465--479

Brill DR, Wheeler JA (1957) Interaction of neutrinos and gravitational fields . Rev Mod Phys 29:465--479. doi:10.1103/RevModPhys.29.465

work page doi:10.1103/revmodphys.29.465 1957
[73]

Lect Notes Phys 906:pp.1--237

Brito R, Cardoso V, Pani P (2015) Superradiance . Lect Notes Phys 906:pp.1--237. doi:10.1007/978-3-319-19000-6, https://arxiv.org/abs/1501.06570 arXiv:1501.06570 [gr-qc]

work page doi:10.1007/978-3-319-19000-6 2015
[74]

Brooker RA, Olle TW (1955) Apsidal-motion constants for polytropic models . 115:101. doi:10.1093/mnras/115.1.101

work page doi:10.1093/mnras/115.1.101 1955
[75]

doi:10.1103/PhysRevD.59.084006 , eid =

Buonanno A, Damour T (1999) Effective one-body approach to general relativistic two-body dynamics . Phys Rev D 59:084006. doi:10.1103/PhysRevD.59.084006, https://arxiv.org/abs/gr-qc/9811091 arXiv:gr-qc/9811091

work page doi:10.1103/physrevd.59.084006 1999
[76]

doi:10.1103/PhysRevD.62.064015 , eid =

Buonanno A, Damour T (2000) Transition from inspiral to plunge in binary black hole coalescences . Phys Rev D 62:064015. doi:10.1103/PhysRevD.62.064015, https://arxiv.org/abs/gr-qc/0001013 arXiv:gr-qc/0001013

work page doi:10.1103/physrevd.62.064015 2000
[77]

2003, Nature, 426, 531, doi: 10.1038/nature02124

Burgay M, et al (2003) An Increased estimate of the merger rate of double neutron stars from observations of a highly relativistic system . Nature 426:531--533. doi:10.1038/nature02124, https://arxiv.org/abs/astro-ph/0312071 arXiv:astro-ph/0312071

work page doi:10.1038/nature02124 2003
[78]

arXiv e-prints https://arxiv.org/abs/1906.06850 arXiv:1906.06850 [hep-th]

Cai S, Wang KD (2019) Non-vanishing of tidal Love numbers . arXiv e-prints https://arxiv.org/abs/1906.06850 arXiv:1906.06850 [hep-th]

work page arXiv 2019
[79]

Phys Rev Lett 132(25):251401

Caneva Santoro G, Roy S, Vicente R, et al (2024) First Constraints on Compact Binary Environments from LIGO-Virgo Data . Phys Rev Lett 132(25):251401. doi:10.1103/PhysRevLett.132.251401, https://arxiv.org/abs/2309.05061 arXiv:2309.05061 [gr-qc]

work page doi:10.1103/physrevlett.132.251401 2024
[80]

Phys Rev D 110(12):123004

Cannizzaro E, De Luca V, Pani P (2024) Tidal deformability of black holes surrounded by thin accretion disks . Phys Rev D 110(12):123004. doi:10.1103/PhysRevD.110.123004, https://arxiv.org/abs/2408.14208 arXiv:2408.14208 [astro-ph.HE]

work page doi:10.1103/physrevd.110.123004 2024

Showing first 80 references.