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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

We consider different spin supplementary conditions (SSC) for a spinning compact binary with the leading-order spin-orbit (SO) interaction. The Lagrangian of the binary system can be constructed but it is acceleration-dependent in two cases…

广义相对论与量子宇宙学 · 物理学 2017-03-27 Balázs Mikóczi

The next-to-next-to-leading order spin-squared interaction potential for generic compact binaries is derived for the first time via the effective field theory for gravitating spinning objects in the post-Newtonian scheme. The spin-squared…

广义相对论与量子宇宙学 · 物理学 2020-04-22 Michèle Levi , Jan Steinhoff

The phase space of a Hamiltonian system is symplectic. However, the post-Newtonian Hamiltonian formulation of spinning compact binaries in existing publications does not have this property, when position, momentum and spin variables $[X, P,…

广义相对论与量子宇宙学 · 物理学 2010-05-12 Xin Wu , Yi Xie

We present the next-to-next-to-leading order post-Newtonian (PN) spin(1)-spin(2) Hamiltonian for two self-gravitating spinning compact objects. If both objects are rapidly rotating, then the corresponding interaction is comparable in…

广义相对论与量子宇宙学 · 物理学 2011-10-05 Johannes Hartung , Jan Steinhoff

We present a non-canonically symplectic integration scheme tailored to numerically computing the post-Newtonian motion of a spinning black-hole binary. Using a splitting approach we combine the flows of orbital and spin contributions. In…

广义相对论与量子宇宙学 · 物理学 2010-05-25 Christian Lubich , Benny Walther , Bernd Bruegmann

Tidal dissipation in spinning compact binaries imprints characteristic corrections on the late-inspiral gravitational-wave signal. We develop a next-to-leading order post-Newtonian description of dissipative, electric-quadrupolar tides in…

广义相对论与量子宇宙学 · 物理学 2026-04-27 Anand Balivada , Abhishek Hegade K. R. , Nicolás Yunes

Eccentricity of binary systems is not a gauge invariant quantity, but has an important impact on the observed gravitational wave signal of such systems, generating power in all possible harmonics of the orbital period. We here clarify the…

广义相对论与量子宇宙学 · 物理学 2019-01-21 Nicholas Loutrel , Samuel Liebersbach , Nicolas Yunes , Neil Cornish

We derive all second post-Newtonian (2PN), non-precessional effects of spin- orbit coupling on the gravitational wave forms emitted by an inspiraling binary composed of spinning, compact bodies in a quasicircular orbit. Previous post-…

广义相对论与量子宇宙学 · 物理学 2009-10-30 Benjamin J. Owen , Hideyuki Tagoshi , Akira Ohashi

Binary compact objects will be among the important sources for the future space-based gravitational wave detectors. Such binary compact objects include stellar massive binary black hole, binary neutron star, binary white dwarf and mixture…

广义相对论与量子宇宙学 · 物理学 2023-06-21 Li-Fang Li , Zhoujian Cao

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

We review a recently proposed approach to construct gravitational wave (GW) polarization states of unbound spinning compact binaries. Through this rather simple method, we are able to include corrections due to the dominant order spin-orbit…

广义相对论与量子宇宙学 · 物理学 2015-06-11 Lorenzo De Vittori , Achamveedu Gopakumar , Anuradha Gupta , Philippe Jetzer

We integrate the third and a half post-Newtonian equations of motion for a fully generic binary black hole system, allowing both for non-circular orbits, and for one or both of the black holes to spin, in any orientation. Using the second…

广义相对论与量子宇宙学 · 物理学 2019-07-17 Brennan Ireland , Ofek Birnholtz , Hiroyuki Nakano , Eric West , Manuela Campanelli

We examine the effects of spin-orbit and spin-spin coupling on the inspiral of a coalescing binary system of spinning compact objects and on the gravitational radiation emitted therefrom. Using a formalism developed by Blanchet, Damour, and…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Lawrence E. Kidder

We calculate via the effective field theory (EFT) approach the next-to-next-to-leading order (NNLO) spin1-spin2 conservative potential for a binary. Hereby, we first demonstrate the ability of the EFT approach to go at NNLO in…

广义相对论与量子宇宙学 · 物理学 2014-06-26 Michele Levi

We obtain the generalized quasi-Keplerian parametrization for compact binaries on quasihyperbolic orbits at second post-Newtonian (2PN) order in a class of massless scalar-tensor theories, extending the analogous results for quasielliptic…

广义相对论与量子宇宙学 · 物理学 2025-08-29 Davide Usseglio , David Trestini , Abhishek Chowdhuri

Starting with a post-Newtonian description of compact binary systems, we derive a set of equations that describes the evolution of the orbital angular momentum and both spin vectors during inspiral. We find regions of phase space that…

天体物理学 · 物理学 2009-11-10 Jeremy D. Schnittman

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 leading order finite size effects due to spin, namely that of the cubic and quartic in spin interactions, are derived for the first time for generic compact binaries via the effective field theory for gravitating spinning objects. These…

广义相对论与量子宇宙学 · 物理学 2015-07-02 Michele Levi , Jan Steinhoff

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