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The rate of gravitational-wave energy loss from inspiralling binary systems of compact objects of arbitrary mass is derived through second post-Newtonian (2PN) order $O[(Gm/rc^2)^2]$ beyond the quadrupole approximation. The result has been…

广义相对论与量子宇宙学 · 物理学 2011-07-19 Luc Blanchet , Thibault Damour , Bala R. Iyer , Clifford M. Will , Alan G. Wiseman

Gravitational waves generated by inspiralling compact binaries are investigated to the second--post-Newtonian (2PN) approximation of general relativity. Using a recently developed 2PN-accurate wave generation formalism, we compute the…

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

Contents: I. Introduction; II. Summary of optimal signal filtering; III. Newtonian binary polarization waveforms; IV. Newtonian orbital phase evolution; V. Post-Newtonian wave-generation; VI. Inspiral binary waveform.

广义相对论与量子宇宙学 · 物理学 2007-05-23 Luc Blanchet

This paper describes the different steps to include the adiabatic tidal effects to the gravitational waveform amplitude for quasi-circular non-spinning compact binaries up to the second-and-a-half post-Newtonian (PN) order. The amplitude,…

广义相对论与量子宇宙学 · 物理学 2025-04-18 Eve Dones , Quentin Henry , Laura Bernard

Inspiralling and coalescing binary black holes are promising sources of gravitational radiation. The orbital motion and gravitational-wave emission of such system can be modelled using a variety of approximation schemes and numerical…

广义相对论与量子宇宙学 · 物理学 2014-10-06 Alexandre Le Tiec

Numerical simulations of 15 orbits of an equal-mass binary black hole system are presented. Gravitational waveforms from these simulations, covering more than 30 cycles and ending about 1.5 cycles before merger, are compared with those from…

Compact binaries in hyperbolic orbits are plausible gravitational wave (GW) sources for the upcoming and planned GW observatories. We develop an efficient prescription to compute post-Newtonian (PN) accurate ready-to-use GW polarization…

广义相对论与量子宇宙学 · 物理学 2014-12-30 Lorenzo De Vittori , Achamveedu Gopakumar , Anuradha Gupta , Philippe Jetzer

Binary black-hole systems are expected to be important sources of gravitational waves for upcoming gravitational-wave detectors. If the spins are not colinear with each other or with the orbital angular momentum, these systems exhibit…

广义相对论与量子宇宙学 · 物理学 2016-08-07 Serguei Ossokine , Michael Boyle , Lawrence E. Kidder , Harald P. Pfeiffer , Mark A. Scheel , Béla Szilágyi

We continue a previous work on the comparison between the post-Newtonian (PN) approximation and the gravitational self-force (SF) analysis of circular orbits in a Schwarzschild background. We show that the numerical SF data contain physical…

广义相对论与量子宇宙学 · 物理学 2010-05-12 Luc Blanchet , Steven Detweiler , Alexandre Le Tiec , Bernard F. Whiting

We investigate the dynamics of spinning binaries of compact objects at the next-to-leading order in the quadratic-in-spin effects, which corresponds to the third post-Newtonian order (3PN). Using a Dixon-type multipolar formalism for…

广义相对论与量子宇宙学 · 物理学 2015-09-30 Alejandro Bohé , Guillaume Faye , Sylvain Marsat , Edward K Porter

We present a new phenomenological gravitational waveform model for the inspiral and coalescence of non-precessing spinning black hole binaries. Our approach is based on a frequency domain matching of post-Newtonian inspiral waveforms with…

广义相对论与量子宇宙学 · 物理学 2015-03-17 L. Santamaria , F. Ohme , P. Ajith , B. Bruegmann , N. Dorband , M. Hannam , S. Husa , P. Moesta , D. Pollney , C. Reisswig , E. L. Robinson , J. Seiler , B. Krishnan

It is now possible to compute linear in mass-ratio terms in the post-Newtonian (PN) expansion for compact binaries to very high orders using black hole perturbation theory applied to various invariants. For instance, a computation of the…

广义相对论与量子宇宙学 · 物理学 2015-08-12 Nathan K. Johnson-McDaniel , Abhay G. Shah , Bernard F. Whiting

Spherical harmonic modes of gravitational waveforms for inspiraling compact binaries in eccentric orbits from post-Newtonian (PN) theory accurate to third post-Newtonian order, and those extracted from numerical relativity (NR) simulations…

广义相对论与量子宇宙学 · 物理学 2022-12-07 Abhishek Chattaraj , Tamal RoyChowdhury , Divyajyoti , Chandra Kant Mishra , Anshu Gupta

We compute the gravitational waves generated by compact binary systems in a class of massless scalar-tensor (ST) theories to the 1.5 post-Newtonian (1.5PN) order beyond the standard quadrupole radiation in general relativity (GR). Using and…

广义相对论与量子宇宙学 · 物理学 2023-06-02 David Trestini

We compute the gravitational waves generated by compact binary systems in a class of massless scalar-tensor (ST) theories to the 1.5 post-Newtonian (1.5PN) order beyond the standard quadrupole radiation in general relativity (GR). Using and…

广义相对论与量子宇宙学 · 物理学 2023-05-30 Laura Bernard , Luc Blanchet , David Trestini

We derive from first principles third post-Newtonian (3PN) accurate Keplerian-type parametric solution to describe PN-accurate dynamics of non-spinning compact binaries in hyperbolic orbits. Orbital elements and functions of the parametric…

广义相对论与量子宇宙学 · 物理学 2018-08-15 Gihyuk Cho , Achamveedu Gopakumar , Maria Haney , Hyung Mok Lee

A parametrized multipolar gravitational wave phasing within multipolar post-Minkowskian and post-Newtonian formalism was developed in earlier works [S. Kastha et al., PRD 98, 124033 (2018) and PRD 100, 044007 (2019)]. This facilitates the…

广义相对论与量子宇宙学 · 物理学 2024-10-14 Parthapratim Mahapatra , Shilpa Kastha

We compare results from numerical simulations of spinning binaries in the "orbital hangup" case, where the binary completes at least nine orbits before merger, with post-Newtonian results using the approximants TaylorT1, T4 and Et. We find…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Mark Hannam , Sascha Husa , Bernd Brügmann , Achamveedu Gopakumar

We consider an application of the Multipolar Post Minkowskian formalism to the case of a two-body system in radial fall. We compute, within the post-Newtonian approximation, the associated gravitational waveform reaching the 2.5…

广义相对论与量子宇宙学 · 物理学 2026-04-03 Donato Bini , Giorgio Di Russo

We revisit the accuracy of the post-Newtonian (PN) approximation and its region of validity for quasi-circular orbits of a point particle in the Kerr spacetime, by using an analytically known highest post-Newtonian order gravitational…

广义相对论与量子宇宙学 · 物理学 2016-05-27 Norichika Sago , Ryuichi Fujita , Hiroyuki Nakano