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Gravitational radiation-reaction phenomena occurring in the dynamics of inspiralling compact binary systems are investigated at the first post-Newtonian order beyond the quadrupole approximation in the context of Einstein-Cartan theory,…

广义相对论与量子宇宙学 · 物理学 2024-02-09 Vittorio De Falco , Emmanuele Battista , Davide Usseglio , Salvatore Capozziello

We consider Detweiler's redshift variable $z$ for a nonspinning mass $m_1$ in circular motion (with orbital frequency $\Omega$) around a nonspinning mass $m_2$. We show how the combination of effective-one-body (EOB) theory with the first…

广义相对论与量子宇宙学 · 物理学 2016-06-22 Donato Bini , Thibault Damour

Gravitational-wave astronomy with coalescing binary neutron star sources requires the availability of gravitational waveforms with tidal effects accurate up to merger. This article presents an improved version of \TEOBResum, a nonspinning…

广义相对论与量子宇宙学 · 物理学 2019-03-06 Sarp Akcay , Sebastiano Bernuzzi , Francesco Messina , Alessandro Nagar , Néstor Ortiz , Piero Rettegno

Building upon several recent advances in the development of effective-one-body models for spin-aligned eccentric binaries with individual masses $(m_1,m_2)$ we introduce a new EOB waveform model that aims at describing inspiralling binaries…

广义相对论与量子宇宙学 · 物理学 2022-10-12 Alessandro Nagar , Simone Albanesi

Using post-Newtonian equations of motion for fluid bodies that include radiation-reaction terms at 2.5 and 3.5 post-Newtonian (PN) order O[(v/c)^5] and O[(v/c)^7] beyond Newtonian order), we derive the equations of motion for binary systems…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Han Wang , Clifford M. Will

A model of three-body motion is developed which includes the effects of gravitational radiation reaction. The radiation reaction due to the emission of gravitational waves is the only post-Newtonian effect that is included here. For…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Zachary E. Wardell

We calculate the explicit equations of motion for non-spinning compact objects to 2.5 post-Newtonian order, or O(v/c)^5 beyond Newtonian gravity, in a general class of scalar-tensor theories of gravity. We use the formalism of the Direct…

广义相对论与量子宇宙学 · 物理学 2013-05-14 Saeed Mirshekari , Clifford M. Will

Scalar-tensor theories are one of the most natural and well-constrained alternative theories of gravity, while still allowing for significant deviations from general relativity. We present the equations of motion of nonspinning compact…

广义相对论与量子宇宙学 · 物理学 2023-03-02 Laura Bernard

We derive the gravitational radiation-reaction (RR) force in the harmonic coordinate system at the fourth-and-a-half post-Newtonian (4.5PN) order in the case of compact binary systems. Dimensional regularization is used to treat the…

广义相对论与量子宇宙学 · 物理学 2026-05-27 Luc Blanchet , Guillaume Faye , Emeric Seraille , David Trestini

The linear- and quadratic-in-spin contributions to the binding potential and gravitational-wave flux from binary systems are derived to next-to-next-to-leading order in the Post-Newtonian (PN) expansion of general relativity, including…

广义相对论与量子宇宙学 · 物理学 2022-11-23 Gihyuk Cho , Rafael A. Porto , Zixin Yang

Compact binaries can have non-negligible orbital eccentricities in the frequency band of ground-based gravitational-wave detectors, depending on their astrophysical formation channels. To accurately determine the parameters of such systems,…

广义相对论与量子宇宙学 · 物理学 2024-12-17 Quentin Henry , Mohammed Khalil

To establish a self-consistent effective one-body (EOB) theory that describes the dynamical evolution of binary systems based on the post-Minkowskian (PM) approximation, where the Hamiltonian, radiation reaction force, and waveforms are…

广义相对论与量子宇宙学 · 物理学 2025-12-19 Jiliang Jing , Weike Deng , Sheng Long

In this Comment we compute the contributions of the radiation reaction force in the 2.5 post-Newtonian (PN) gravitational wave polarizations for compact binaries in circular orbits. (i) We point out and correct an inconsistency in the…

广义相对论与量子宇宙学 · 物理学 2010-10-27 Lawrence E. Kidder , Luc Blanchet , Bala R. Iyer

The success of analytic waveform modeling within the effective-one-body (EOB) approach relies on the precise understanding of the physical importance of each technical element included in the model. The urgency of constructing progressively…

广义相对论与量子宇宙学 · 物理学 2023-12-12 Alessandro Nagar , Piero Rettegno , Rossella Gamba , Simone Albanesi , Angelica Albertini , Sebastiano Bernuzzi

One of the promising sources of gravitational radiation is a binary system composed of compact stars. It is an important question how the rotation of the bodies and the eccentricity of the orbit affect the detectable signal. Here we present…

广义相对论与量子宇宙学 · 物理学 2010-10-27 Mátyás Vasúth , János Majár

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

Building upon recent work, we present an improved effective-one-body (EOB) model for spin-aligned, coalescing, black hole binaries with generic orbital configurations, i.e. quasi-circular, eccentric or hyperbolic orbits. The model relies on…

广义相对论与量子宇宙学 · 物理学 2021-05-19 Alessandro Nagar , Alice Bonino , Piero Rettegno

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…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Thierry Mora , Clifford M. Will

The dynamics of a binary system with two spinning components on an eccentric orbit is studied, with the inclusion of the spin-spin interaction terms appearing at the second post-Newtonian order. A generalized true anomaly parametrization…

广义相对论与量子宇宙学 · 物理学 2009-10-31 László Á. Gergely

Motivated by the search for gravitational waves emitted by binary black holes, we investigate the gravitational radiation field of point particles with spins within the framework of the multipolar-post-Newtonian wave generation formalism.…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Luc Blanchet , Alessandra Buonanno , Guillaume Faye