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We study the gravitational wave emission of three compact objects using post-Newtonian (PN) equations of motion derived from the Arnowitt-Deser-Misner Hamiltonian formulation, where we include (for the first time in this context) terms up…

广义相对论与量子宇宙学 · 物理学 2011-08-24 Pablo Galaviz , Bernd Bruegmann

We complete the post-Newtonian (PN) prediction at the 3.5PN order for the spin contributions to the gravitational waveforms emitted by inspiraling compact binaries, in the case of quasi-circular, equatorial orbits, where both spins are…

广义相对论与量子宇宙学 · 物理学 2022-12-21 Quentin Henry , Sylvain Marsat , Mohammed Khalil

The post-post-Newtonian (2PN) accurate mass quadrupole moment, for compact binaries of arbitrary mass ratio, moving in general orbits is obtained by the multi-polar post Minkowskian approach of Blanchet, Damour, and Iyer (BDI). Using this,…

广义相对论与量子宇宙学 · 物理学 2014-11-17 A. Gopakumar , Bala R. Iyer

We derive a gauge inspired combinatorial formula based on localization for the Post-Newtonian expansion of the gravitational wave form luminosity of binary systems made of objects with very different masses orbiting at large distances and…

广义相对论与量子宇宙学 · 物理学 2024-02-22 Francesco Fucito , Jose Francisco Morales

Using the multipolar post-Minkowskian and matching formalism we compute the gravitational waveform of inspiralling compact binaries moving in quasi-circular orbits at the second and a half post-Newtonian (2.5PN) approximation to general…

广义相对论与量子宇宙学 · 物理学 2014-11-17 K G Arun , Luc Blanchet , Bala R Iyer , Moh'd S S Qusailah

We analyse an eleven-orbit inspiral of a non-spinning black-hole binary with mass ratio q=M1/M2=4. The numerically obtained gravitational waveforms are compared with post-Newtonian (PN) predictions including several sub-dominant multipoles…

广义相对论与量子宇宙学 · 物理学 2011-06-08 Ulrich Sperhake , Bernd Bruegmann , Doreen Mueller , Carlos F. Sopuerta

The post-Newtonian formalism plays an integral role in the models used to extract information from gravitational wave data, but models that incorporate this formalism are inherently approximations. Disagreement between an approximate model…

广义相对论与量子宇宙学 · 物理学 2024-10-17 Caroline B. Owen , Carl-Johan Haster , Scott Perkins , Neil J. Cornish , Nicolás Yunes

This article presents a study of the sufficient accuracy of post-Newtonian and numerical relativity waveforms for the most demanding usage case: parameter estimation of strong sources in advanced gravitational wave detectors. For black hole…

广义相对论与量子宇宙学 · 物理学 2015-03-19 Ilana MacDonald , Samaya Nissanke , Harald P. Pfeiffer

We calculate the gravitational waveform for spinning, precessing compact binary inspirals through second post-Newtonian order in the amplitude. When spins are collinear with the orbital angular momentum and the orbits are quasi-circular, we…

广义相对论与量子宇宙学 · 物理学 2013-03-19 Alessandra Buonanno , Guillaume Faye , Tanja Hinderer

This paper is motivated by the need to improve the post-Newtonian (PN) amplitude accuracy of waveforms for gravitational waves generated by inspiralling compact binaries, both for use in data analysis and in the comparison between…

广义相对论与量子宇宙学 · 物理学 2015-06-22 Guillaume Faye , Luc Blanchet , Bala R. Iyer

Taking into account the mass transfer effect, we derive the equations of motion of a compact binary system at the second-half post-Newtonian order. Applying such equations of motion to quasi-circular orbits, we obtain the time derivative of…

广义相对论与量子宇宙学 · 物理学 2025-10-08 Zi-Han Zhang , Tan Liu , Zong-Kuan Guo

This article provides the details on the technical derivation of the gravitational waveform and total gravitational-wave energy flux of non-spinning compact binary systems to the 4PN (fourth post-Newtonian) order beyond the Einstein…

广义相对论与量子宇宙学 · 物理学 2023-10-03 Luc Blanchet , Guillaume Faye , Quentin Henry , François Larrouturou , David Trestini

We present further evidence that the second post-Newtonian (pN) approximation to the gravitational waves emitted by inspiraling compact binaries is sufficient for the detection of these systems. This is established by comparing the 2-pN…

广义相对论与量子宇宙学 · 物理学 2016-08-25 Serge Droz

Complete expressions of time-domain gravitational waveforms for spinning binary inspirals via the post-Newtonian (PN) approximation would require determination of the phase, amplitude, inclination angle, precession phase and spin vectors as…

广义相对论与量子宇宙学 · 物理学 2010-01-19 Dong-Hoon Kim

We complete the computation of the gravitational waveform amplitude for non-spinning compact binaries to the third and a half post-Newtonian (PN) order in the quasi-circular case. This is done by performing a spin-weighted spherical…

广义相对论与量子宇宙学 · 物理学 2023-03-08 Quentin Henry

The purpose of this thesis is to calculate the relativistic correction to the gravitational waves produced by compact binaries in the inspiral phase. The correction is up to the next to leading order, the so-called first post-Newtonian…

广义相对论与量子宇宙学 · 物理学 2022-09-26 Vegard Undheim

The multipolar-post-Minkowskian approach to gravitational radiation is applied to the problem of the generation of waves by the compact binary inspiral. We investigate specifically the third post-Newtonian (3PN) approximation in the total…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Luc Blanchet , Bala R. Iyer , Benoit Joguet

The post-Newtonian approximation is useful to discuss gravitational waveforms for binary inspirals. In this note, for retrograde circular orbits in the equatorial plane, we discuss the region of validity of the post-Newtonian approximation…

广义相对论与量子宇宙学 · 物理学 2017-12-22 Ryuichi Fujita , Norichika Sago , Hiroyuki Nakano

Using equations of motion accurate to the third post-Newtonian (3PN) order (O(v/c)^6 beyond Newtonian gravity), we derive expressions for the total energy E and angular momentum J of the orbits of compact binary systems (black holes or…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Thierry Mora , Clifford M. Will

The inspiral of compact binaries, driven by gravitational-radiation reaction, is investigated through 7/2 post-Newtonian (3.5PN) order beyond the quadrupole radiation. We outline the derivation of the 3.5PN-accurate binary's center-of-mass…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Luc Blanchet , Guillaume Faye , Bala R. Iyer , Benoit Joguet