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We compute the instantaneous contributions to the spherical harmonic modes of gravitational waveforms from compact binary systems in general orbits up to the third post-Newtonian order. We further extend these results for compact binaries…

广义相对论与量子宇宙学 · 物理学 2015-05-12 Chandra Kant Mishra , K. G. Arun , Bala R. Iyer

The inspiral and merger of supermassive black hole binary systems with high orbital eccentricity are among the promising sources of the advanced gravitational wave observatories. In this paper we derive analytic ready-to-use first…

广义相对论与量子宇宙学 · 物理学 2015-08-26 Balázs Mikóczi , Péter Forgács , Mátyás Vasúth

We present analytical expressions for the fluxes of energy and angular momentum from a point mass on an inclined spherical orbit about a Kerr black hole. The expressions are obtained using the method of Mano, Suzuki and Takasugi to…

广义相对论与量子宇宙学 · 物理学 2025-04-08 Jezreel C. Castillo , Charles R. Evans , Chris Kavanagh , Jakob Neef , Adrian Ottewill , Barry Wardell

Binary black hole systems are among the most important sources for gravitational wave detection. And also they are good objects for theoretical research for general relativity. Gravitational waveform template is important to data analysis.…

广义相对论与量子宇宙学 · 物理学 2017-08-30 Zhoujian Cao , Wen-Biao Han

The effective-one-body theory (EOB) describes the conservative dynamics of compact binary systems in terms of an effective Hamiltonian approach. The Hamiltonian for moderately eccentric motion of two non-spinning compact objects in the…

广义相对论与量子宇宙学 · 物理学 2016-03-30 Sarp Akcay , Maarten van de Meent

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

We propose an improved analytical model for the horizon-absorbed gravitational-wave energy flux of a small body in circular orbit in the equatorial plane of a Kerr black hole. Post-Newtonian (PN) theory provides an analytical description of…

广义相对论与量子宇宙学 · 物理学 2013-08-09 Andrea Taracchini , Alessandra Buonanno , Scott A. Hughes , Gaurav Khanna

We construct an inspiral-merger-ringdown eccentric gravitational-wave (GW) model for binary black holes with non-precessing spins within the effective-one-body formalism. This waveform model, SEOBNRv4EHM, extends the accurate quasi-circular…

广义相对论与量子宇宙学 · 物理学 2022-03-02 Antoni Ramos-Buades , Alessandra Buonanno , Mohammed Khalil , Serguei Ossokine

The relativistic motion of a compact binary system moving in circular orbit is investigated using the post-Newtonian (PN) approximation and the perturbative self-force (SF) formalism. A particular gauge-invariant observable quantity is…

广义相对论与量子宇宙学 · 物理学 2015-05-19 Luc Blanchet , Steven Detweiler , Alexandre Le Tiec , Bernard F. Whiting

We investigate the (conservative) dynamics of binary black holes using the Hamiltonian formulation of the post-Newtonian (PN) equations of motion. The Hamiltonian we use includes spin-orbit coupling, spin-spin coupling, and mass…

广义相对论与量子宇宙学 · 物理学 2011-07-19 Michael D. Hartl , Alessandra Buonanno

Using the effective-one-body (EOB) formalism and a time-domain Teukolsky code, we generate inspiral, merger, and ringdown waveforms in the small mass-ratio limit. We use EOB inspiral and plunge trajectories to build the Teukolsky equation…

广义相对论与量子宇宙学 · 物理学 2012-01-27 Enrico Barausse , Alessandra Buonanno , Scott A. Hughes , Gaurav Khanna , Stephen O'Sullivan , Yi Pan

The inference of binary neutron star properties from gravitational-wave observations requires the generation of millions of waveforms, each one spanning about three order of magnitudes in frequency range. Thus, waveform models must be…

广义相对论与量子宇宙学 · 物理学 2021-10-27 Rossella Gamba , Sebastiano Bernuzzi , Alessandro Nagar

Compact binaries that emit gravitational waves in the sensitivity band of ground-based detectors can have non-negligible eccentricities just prior to merger, depending on the formation scenario. We develop a purely analytic,…

广义相对论与量子宇宙学 · 物理学 2014-10-15 E. A. Huerta , Prayush Kumar , Sean T. McWilliams , Richard O'Shaughnessy , Nicolas Yunes

The coalescences of binary black hole (BBH) systems, here taken to be non-spinning, are among the most promising sources for gravitational wave (GW) ground-based detectors, such as LIGO and Virgo. To detect the GW signals emitted by BBHs,…

广义相对论与量子宇宙学 · 物理学 2011-02-25 T. Damour , A. Nagar , M. Trias

We derive fourth post-Newtonian (4PN) contributions to the Keplerian-type parametric solution associated with the conservative dynamics of eccentric, non-spinning compact binaries. The solution has been computed while ignoring certain…

广义相对论与量子宇宙学 · 物理学 2022-04-19 Gihyuk Cho , Sashwat Tanay , Achamveedu Gopakumar , Hyung Mok Lee

We develop new high-order results for the post-Newtonian (PN) expansions of the energy and angular momentum fluxes at infinity for eccentric-orbit extreme-mass-ratio inspirals (EMRIs) on a Schwarzschild background. The series are derived…

广义相对论与量子宇宙学 · 物理学 2020-12-09 Christopher Munna

We construct an efficient frequency domain waveform for generic circular compact object binaries that include neutron stars. The orbital precession is solved on the radiation reaction timescale (and then transformed to the frequency…

广义相对论与量子宇宙学 · 物理学 2023-08-28 Michael LaHaye , Huan Yang , Béatrice Bonga , Zhenwei Lyu

Extreme mass-ratio inspirals are among the key sources of gravitational waves for the Laser Interferometer Space Antenna space-based gravitational-wave detector. Achieving sufficient accuracy in the gravitational-wave template for these…

广义相对论与量子宇宙学 · 物理学 2025-11-14 Gabriel Andres Piovano , Christiana Pantelidou , Jake Mac Uilliam , Vojtěch Witzany

This study presents a thorough comparative analysis between post-Newtonian (PN) and numerically relativistic (NR) waveforms in eccentric orbits, covering nonspinning and spin-aligned configurations. The comparison examines frequency,…

广义相对论与量子宇宙学 · 物理学 2025-03-17 Hao Wang , Yuan-Chuan Zou , Qing-Wen Wu , Xiaolin Liu , Zhao Li

Black hole binaries on non-eccentric orbits form an important subclass of gravitational wave sources, but it is a non-trivial issue to construct numerical initial data with minimal initial eccentricity for numerical simulations. We compute…

广义相对论与量子宇宙学 · 物理学 2010-03-29 Benny Walther , Bernd Bruegmann , Doreen Mueller