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Post-Newtonian corrections to the motion of spinning bodies in NRGR

Canonical reference. 83% of citing Pith papers cite this work as background.

10 Pith papers citing it
Background 83% of classified citations
abstract

In this paper we include spin and multipole moment effects in the formalism used to describe the motion of extended objects recently introduced in hep-th/0409156. A suitable description for spinning bodies is developed and spin-orbit, spin-spin and quadrupole-spin Hamiltonians are found at leading order. The existence of tidal, as well as self induced finite size effects is shown, and the contribution to the Hamiltonian is calculated in the latter. It is shown that tidal deformations start formally at O(v^6) and O(v^10) for maximally rotating general and compact objects respectively, whereas self induced effects can show up at leading order. Agreement is found for the cases where the results are known.

citation-role summary

background 5 method 1

citation-polarity summary

fields

gr-qc 5 hep-th 5

years

2026 7 2025 3

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UNVERDICTED 10

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representative citing papers

Five-dimensional Geometry from Spinning Amplitudes

hep-th · 2026-05-28 · unverdicted · novelty 7.0

The classical limit of five-dimensional spinning amplitudes reproduces the multipole expansion of five-dimensional black holes after augmenting with the Hodge dual of the spin tensor, and identifies amplitudes corresponding to the Myers-Perry solution.

Generalized Carter & R\"udiger Constants of $\sqrt{\text{Kerr}}$

gr-qc · 2026-02-21 · unverdicted · novelty 7.0

Generalized Carter and Rüdiger constants for spinning charged probes in √Kerr backgrounds exist only for Wilson coefficients matching spin-exponentiated effective Compton amplitudes up to second order in spin.

Resummation of Universal Tails in Gravitational Waveforms

hep-th · 2025-04-10 · unverdicted · novelty 7.0

A universal anomalous dimension for multipole moments in GR is derived via two EFT methods and applied to resum short-distance logarithmic tails in binary gravitational waveforms.

Universality in Relativistic Spinning Particle Models

hep-th · 2026-03-28 · 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.

Tidal Response and Thermodynamics of Black Holes

hep-th · 2026-04-29 · unverdicted · novelty 6.0

A new gauge-invariant effective action computes black hole Love numbers without Regge-Wheeler methods, and these numbers determine leading thermodynamic corrections under external perturbations.

The Science of the Einstein Telescope

gr-qc · 2025-03-15 · unverdicted · novelty 3.0

The paper provides state-of-the-art predictions for the Einstein Telescope's impact on fundamental physics, cosmology, compact-object astrophysics, and multi-messenger astronomy across its proposed configurations.

citing papers explorer

Showing 5 of 5 citing papers after filters.

  • Five-dimensional Geometry from Spinning Amplitudes hep-th · 2026-05-28 · unverdicted · none · ref 50 · internal anchor

    The classical limit of five-dimensional spinning amplitudes reproduces the multipole expansion of five-dimensional black holes after augmenting with the Hodge dual of the spin tensor, and identifies amplitudes corresponding to the Myers-Perry solution.

  • Resummation of Universal Tails in Gravitational Waveforms hep-th · 2025-04-10 · unverdicted · none · ref 45 · internal anchor

    A universal anomalous dimension for multipole moments in GR is derived via two EFT methods and applied to resum short-distance logarithmic tails in binary gravitational waveforms.

  • Universality in Relativistic Spinning Particle Models hep-th · 2026-03-28 · unverdicted · none · ref 95 · internal anchor

    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.

  • Tidal Response and Thermodynamics of Black Holes hep-th · 2026-04-29 · unverdicted · none · ref 4

    A new gauge-invariant effective action computes black hole Love numbers without Regge-Wheeler methods, and these numbers determine leading thermodynamic corrections under external perturbations.

  • All-order structure of static gravitational interactions and the seventh post-Newtonian potential hep-th · 2026-04-15 · unverdicted · none · ref 104

    A closed formula computes static post-Newtonian corrections at arbitrary odd orders in gravity, yielding the explicit seventh post-Newtonian potential that matches an independent diagrammatic method.