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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…

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

Starting from the recently obtained 2PN accurate forms of the energy and angular momentum fluxes from inspiralling compact binaries, we deduce the gravitational radiation reaction to 2PN order beyond the quadrupole approximation - 4.5PN…

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

We study the gravitational radiation reaction in compact binary systems composed of neutron stars with spin and huge magnetic dipole moments (magnetars). The magnetic dipole moments undergo a precessional motion about the respective spins.…

广义相对论与量子宇宙学 · 物理学 2016-08-16 Mátyás Vasúth , Zoltán Keresztes , András Mihály , László Á. Gergely

The radiation reaction in compact spinning binaries on eccentric orbits due to the quadrupole-monopole interaction is studied. This contribution is of second post-Newtonian order. As result of the precession of spins the magnitude $L$ of…

广义相对论与量子宇宙学 · 物理学 2009-11-07 László Á. Gergely , Zoltán Keresztes

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

We compute the gravitational radiation-reaction force on a compact binary source at the fourth-and-a-half post-Newtonian (4.5PN) order of general relativity, i.e., 2PN order beyond the leading 2.5PN radiation reaction. The calculation is…

广义相对论与量子宇宙学 · 物理学 2025-07-31 Luc Blanchet , Guillaume Faye , David Trestini

Gravitational radiation reaction forces and balance equations for energy and momenta are investigated to 3/2 post-Newtonian (1.5PN) order beyond the quadrupole approximation, corresponding to the 4PN order in the equations of motion of an…

广义相对论与量子宇宙学 · 物理学 2011-09-09 L. Blanchet

We derive the gravitational radiation-reaction force modifying the Effective One Body (EOB) description of the conservative dynamics of binary systems. Our result is applicable to general orbits (elliptic or hyperbolic) and keeps terms of…

广义相对论与量子宇宙学 · 物理学 2013-05-30 Donato Bini , Thibault Damour

We compute the variation of the Fokker-Wheeler-Feynman total linear and angular momentum of a gravitationally interacting binary system under the second post-Minkowskian retarded dynamics. The resulting $O(G^2)$ equations-of-motion-based,…

广义相对论与量子宇宙学 · 物理学 2023-01-11 Donato Bini , Thibault Damour

We discuss the leading order correction to the equation of motion of a particle with spin on an arbitrary spacetime. A particle traveling in a curved spacetime is known to trace a geodesic of the background spacetime if the mass of the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Yasushi Mino , Misao Sasaki , Takahiro Tanaka

We compute the radiation reaction force on the orbital motion of compact binaries to the 3.5 post-Newtonian (3.5PN) approximation, i.e. one PN order beyond the dominant effect. The method is based on a direct PN iteration of the near-zone…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Samaya Nissanke , Luc Blanchet

We present the gravitational-wave flux balance law in an extreme mass-ratio binary with a spinning secondary. This law relates the flux of energy (angular momentum) radiated to null infinity and through the event horizon to the local change…

广义相对论与量子宇宙学 · 物理学 2020-09-16 Sarp Akcay , Sam R. Dolan , Chris Kavanagh , Jordan Moxon , Niels Warburton , Barry Wardell

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

We obtain the total impulse in the scattering of non-spinning binaries in general relativity at fourth Post-Minkowskian order, i.e. ${\cal O}(G^4)$, including linear, nonlinear, and hereditary radiation-reaction effects. We derive the total…

高能物理 - 理论 · 物理学 2023-03-29 Christoph Dlapa , Gregor Kälin , Zhengwen Liu , Jakob Neef , Rafael A. Porto

The worldlines (in harmonic coordinates) of two gravitationally interacting massive bodies at the second post-Minkowskian order are described in explicit form. Both the conservative case and the radiation-reacted case are considered. We use…

广义相对论与量子宇宙学 · 物理学 2024-09-02 Donato Bini , Thibault Damour , Andrea Geralico

A quasi-Keplerian parameterisation for the solutions of second post-Newtonian (PN) accurate equations of motion for spinning compact binaries is obtained including leading order spin-spin and next-to-leading order spin-orbit interactions.…

广义相对论与量子宇宙学 · 物理学 2015-03-13 Manuel Tessmer , Johannes Hartung , Gerhard Schaefer

We compute the leading Post-Newtonian (PN) contributions at linear order in the spin to the radiation-reaction acceleration and spin evolution for binary systems, which enter at fourth PN order. The calculation is carried out, from first…

广义相对论与量子宇宙学 · 物理学 2017-11-08 Natália T. Maia , Chad R. Galley , Adam K. Leibovich , Rafael A. Porto

We revisit the problem of flux-balance equations for isolated post-Newtonian matter systems due to the emission of gravitational waves. In particular we show by a local derivation confined to the system, using the expression of…

广义相对论与量子宇宙学 · 物理学 2019-05-22 Luc Blanchet , Guillaume Faye

We compute the leading order contribution to radiative losses in the case of spinning binaries with aligned spins due to their spin-orbit interaction. The orbital average along hyperboliclike orbits is taken through an appropriate…

广义相对论与量子宇宙学 · 物理学 2023-09-04 Donato Bini , Andrea Geralico , Piero Rettegno

The orbital energy and momentum of the compact binary systems will loss due to gravitational radiation. Based on the mass and mass-current multipole moments of the binary system with the spin vector defined by Boh\'{e} et al. [Class.…

广义相对论与量子宇宙学 · 物理学 2024-02-06 Hao Zhang , Wei Gao , Guansheng He , Siming Liu , Huanyu Jia , Wenbin Lin
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