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We study the phenomenological consequences of amplitude-corrected post-Newtonian (PN) gravitational waveforms, as opposed to the more commonly used restricted PN waveforms, for the quasi-circular, adiabatic inspiral of compact binary…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Chris Van Den Broeck , Anand S. Sengupta

Extending a method developed by Sasaki in the Schwarzschild case and by Shibata, Sasaki, Tagoshi, and Tanaka in the Kerr case, we calculate the post-Newtonian expansion of the gravitational wave luminosities from a test particle in circular…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Hideyuki Tagoshi , Masaru Shibata , Takahiro Tanaka , Misao Sasaki

We derive the secular evolution of the orbital elements of a stellar-mass object orbiting a spinning massive black hole. We use the post-Newtonian approximation in harmonic coordinates, with test-body equations of motion for the…

General Relativity and Quantum Cosmology · Physics 2017-03-08 Clifford M. Will , Matthew Maitra

This study presents a thorough comparative analysis between post-Newtonian (PN) and numerically relativistic (NR) waveforms in eccentric orbits, covering nonspinning and spin-aligned configurations. The comparison examines frequency,…

General Relativity and Quantum Cosmology · Physics 2025-03-17 Hao Wang , Yuan-Chuan Zou , Qing-Wen Wu , Xiaolin Liu , Zhao Li

We determine the onset point of secular instability for the nonaxisymmetric bar mode in rigidly rotating equilibrium configurations in the Post-Newtonian approximation, in order to apply it to neutron stars. The treatment is based on a…

Astrophysics · Physics 2009-11-07 Tristano Di Girolamo , Mario Vietri

While current gravitational wave observations with ground based detectors have been consistent with compact binaries in quasi-circular orbits, eccentric binaries may be detectable by ground-based and space-based instruments in the near…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Blake Moore , Nicolás Yunes

We find a new solution to calculate the orbital periastron advance of a test body subject to a central gravitational force field, for relativistic theories and models beyond Einstein. This analitycal formula has general validity that…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Antonio Tedesco , Antonio Capolupo , Gaetano Lambiase

We present a new approach to factorize and resum the post-Newtonian (PN) waveform for generic equatorial motion to be used within effective-one-body (EOB) based waveform models. The new multipolar waveform factorization improves previous…

General Relativity and Quantum Cosmology · Physics 2022-06-01 Andrea Placidi , Simone Albanesi , Alessandro Nagar , Marta Orselli , Sebastiano Bernuzzi , Gianluca Grignani

The equations of motion of nonspinning compact binary systems at the third post-Newtonian (PN) order in massless scalar-tensor theories have recently been obtained. In the present paper, we complete this work by computing at 3PN order the…

General Relativity and Quantum Cosmology · Physics 2019-03-06 Laura Bernard

We make a comparison between results from numerically generated, quasi-equilibrium configurations of compact binary systems of black holes in close orbits, and results from the post-Newtonian approximation. The post-Newtonian results are…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Thierry Mora , Clifford M. Will

The factorization and resummation approach of Nagar and Shah~[Phys.~Rev.~D~94 (2016), 104017], designed to improve the strong-field behavior of the post-Newtonian (PN) residual waveform amplitudes $f_{\ell m}$'s entering the…

General Relativity and Quantum Cosmology · Physics 2018-04-18 Francesco Messina , Alberto Maldarella , Alessandro Nagar

The article delivers the only still unknown coefficient in the 4th post-Newtonian energy expression for binary point masses on circular orbits as function of orbital angular frequency. Apart from a single coefficient, which is known solely…

General Relativity and Quantum Cosmology · Physics 2013-05-01 Piotr Jaranowski , Gerhard Schäfer

We derive the first law of binary point-particle mechanics for generic bound (i.e. eccentric) orbits at the fourth post-Newtonian (4PN) order, accounting for the non-locality in time of the dynamics due to the occurence of a…

General Relativity and Quantum Cosmology · Physics 2017-07-25 Luc Blanchet , Alexandre Le Tiec

The renormalon calculus is used to calculate the terms of order $\beta_0^{n-1}\alpha_s^n$ in the perturbative expansions of the Wilson coefficients and hard-scattering kernels entering the QCD factorization formula for hadronic B-meson…

High Energy Physics - Phenomenology · Physics 2009-11-07 Matthias Neubert , Ben D. Pecjak

We compute the next-to-next-to-leading order spin-orbit contributions in the total energy flux emitted in gravitational waves by compact binary systems. Such contributions correspond to the post-Newtonian order 3.5PN for maximally spinning…

General Relativity and Quantum Cosmology · Physics 2013-12-20 Alejandro Bohe , Sylvain Marsat , Luc Blanchet

By post-Newtonian (PN) expanding the well-known, factorized and resummed, effective-one-body energy flux for circularized binaries we show that: (i) because of the presence of the resummed tail factor, the 4.5PN-accurate…

General Relativity and Quantum Cosmology · Physics 2018-06-13 Francesco Messina , Alessandro Nagar

We investigate how commonly used parameter definitions in Post-Newtonian (PN) theory compare with those from Numerical Relativity (NR) for binary black hole (BBH) systems. In NR, masses and spins of each companion are measured quasi-locally…

General Relativity and Quantum Cosmology · Physics 2025-10-30 Dongze Sun , Leo C. Stein

Comparing the corrections to Kepler's law with orbital evolution under a self force, we extract the finite, already regularized part of the latter in a specific gauge. We apply this method to a quasi-circular orbit around a Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Lior M. Burko

This article studies sufficient accuracy criteria of hybrid post-Newtonian (PN) and numerical relativity (NR) waveforms for parameter estimation of strong binary black-hole sources in second- generation ground-based gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Ilana MacDonald , Abdul H. Mroue , Harald P. Pfeiffer , Michael Boyle , Lawrence E. Kidder , Mark A. Scheel , Bela Szilagyi , Nicholas W. Taylor

We introduce a new, resummed, analytical form of the post-Newtonian (PN), factorized, multipolar amplitude corrections $f_{\ell m}$ of the effective-one-body (EOB) gravitational waveform of spinning, nonprecessing, circularized, coalescing…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Alessandro Nagar , Abhay G. Shah
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