Derives the 4PN conservative map between constants of motion and fundamental frequencies for eccentric orbits, resummed over eccentricity and validated against circular-orbit and self-force results.
Canonical reference
Gravitational-Wave Phasing of Quasicircu- lar Compact Binary Systems to the Fourth-and-a-Half Post-Newtonian Order,
Canonical reference. 83% of citing Pith papers cite this work as background.
13
Pith papers citing it
Background
83% of classified citations
citation-role summary
background 5
method 1
citation-polarity summary
representative citing papers
Calculates energy fluxes with quadratic-in-spin and quadrupole effects for small-mass-ratio spinning binaries in self-force theory, providing numerical data and sixth-order PN expansions.
Bayesian analysis of GW230627 and GW250114 finds no deviation from GR at 4PN and 4.5PN orders, setting the first empirical baseline with 90% intervals of order O(1)-O(10).
For orbital velocities below 0.45, PN energy flux agreement with NR improves up to incomplete 6PN with non-monotonic behavior, but convergence is lost near v approximately 0.5.
Gravitational waveform from radial infall of a particle into a Schwarzschild black hole computed to 3.5 post-Newtonian order.
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.
A PINN learns higher-order corrections to the TaylorT4 PN model from eight NR surrogate waveforms, reducing phase and amplitude errors in the inspiral while enforcing physical symmetries.
Derives conservative potential and scattering angle for charged black holes in EMD theory via one-loop soft amplitudes, showing IR finiteness after Lippmann-Schwinger treatment and smooth reduction to GR.
Computes 1PN conservative dynamics for gravitational/EM/Proca fields and 2PN for scalar, plus radiation effects from axion-photon coupling at high PN orders in binary black hole systems with dark matter.
Outlines a Schwinger-Keldysh path-integral framework that derives worldline equations of motion and computes weak-field gravitational waveforms independently for unspecified relativistic orbits.
Develops a frequency-domain approximant for tidal heating in nonspinning black hole binaries that extends to merger and includes horizon parameters.
4.5PN and 2SF calculations of gravitational energy flux for quasicircular compact binaries agree.
citing papers explorer
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Constants of motion and fundamental frequencies for elliptic orbits at fourth post-Newtonian order
Derives the 4PN conservative map between constants of motion and fundamental frequencies for eccentric orbits, resummed over eccentricity and validated against circular-orbit and self-force results.
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Quadrupole and quadratic-in-spin effects in quasicircular, spinning, asymmetric binaries
Calculates energy fluxes with quadratic-in-spin and quadrupole effects for small-mass-ratio spinning binaries in self-force theory, providing numerical data and sixth-order PN expansions.
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Tests of general relativity at the fourth post-Newtonian order with GW230627 and GW250114
Bayesian analysis of GW230627 and GW250114 finds no deviation from GR at 4PN and 4.5PN orders, setting the first empirical baseline with 90% intervals of order O(1)-O(10).
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Convergence of post-Newtonian for quasi-circular non-precessing comparable mass ratios BBHs
For orbital velocities below 0.45, PN energy flux agreement with NR improves up to incomplete 6PN with non-monotonic behavior, but convergence is lost near v approximately 0.5.
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Gravitational waveform from radial infall at the third-and-half Post-Newtonian order
Gravitational waveform from radial infall of a particle into a Schwarzschild black hole computed to 3.5 post-Newtonian order.
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All-order structure of static gravitational interactions and the seventh post-Newtonian potential
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.
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Learning Post-Newtonian Corrections from Numerical Relativity
A PINN learns higher-order corrections to the TaylorT4 PN model from eight NR surrogate waveforms, reducing phase and amplitude errors in the inspiral while enforcing physical symmetries.
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Heterotic Footprints in Classical Gravity: PM dynamics from On-Shell soft amplitudes at one loop
Derives conservative potential and scattering angle for charged black holes in EMD theory via one-loop soft amplitudes, showing IR finiteness after Lippmann-Schwinger treatment and smooth reduction to GR.
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Worldline effective field theory of inspiralling black hole binaries in presence of dark photon and axionic dark matter
Computes 1PN conservative dynamics for gravitational/EM/Proca fields and 2PN for scalar, plus radiation effects from axion-photon coupling at high PN orders in binary black hole systems with dark matter.
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Weak-field waveforms for generic relativistic orbits
Outlines a Schwinger-Keldysh path-integral framework that derives worldline equations of motion and computes weak-field gravitational waveforms independently for unspecified relativistic orbits.
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Binary black holes in the heat of merger
Develops a frequency-domain approximant for tidal heating in nonspinning black hole binaries that extends to merger and includes horizon parameters.
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Comparison of 4.5PN and 2SF gravitational energy fluxes from quasicircular compact binaries
4.5PN and 2SF calculations of gravitational energy flux for quasicircular compact binaries agree.
- Post-Newtonian inspiral waveform model for eccentric precessing binaries with higher-order modes and matter effects