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We propose a method of determining solutions to the constraint equations of General Relativity approximately describing binary black holes in quasi-stationary circular orbits. Black holes with arbitrary linear momenta are constructed in the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Brian D. Baker

We study parameter estimation of supermassive black hole binary systems in the final stage of inspiral using the full post-Newtonian gravitational waveforms. We restrict our analysis to systems in circular orbit with negligible spins, in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Miquel Trias , Alicia M. Sintes

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…

General Relativity and Quantum Cosmology · Physics 2015-05-12 Chandra Kant Mishra , K. G. Arun , Bala R. Iyer

Modeling of gravitational waves (GWs) from binary black hole inspiral brings together early post-Newtonian waveforms and late quasinormal ringing waveforms. Attempts to bridge the two limits without recourse to numerical relativity involve…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Richard H Price , Gaurav Khanna

We present the first analytical computation of the (conservative) gravitational self-force correction to the periastron advance around a spinning black hole. Our result is accurate to the second order in the rotational parameter and through…

General Relativity and Quantum Cosmology · Physics 2019-12-25 Donato Bini , Andrea Geralico

A black hole binary approaching merger undergoes changes in its inspiral rate as energy and angular momentum are lost from the orbits into the horizons. This effect strengthens as the black holes come closer. We use numerical relativity…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Samanwaya Mukherjee , Sayak Datta , Sukanta Bose , Khun Sang Phukon

Gravitational waves from a binary with a single dynamically significant spin, notably including precessing black hole-neutron star (BH-NS) binaries, let us constrain that binary's properties: the two masses and the dominant black hole spin.…

General Relativity and Quantum Cosmology · Physics 2015-09-23 R. O'Shaughnessy , P. Nepal , A. Lundgren

We construct the covariantly defined multipole moments on the common horizon of an equal-mass, non-spinning, quasicircular binary-black-hole system. We see a strong correlation between these multipole moments and the gravitational waveform.…

Unlike traditional electromagnetic measurements, gravitational-wave observations are not affected by crowding and extinction. For this reason, compact object binaries orbiting around a massive black hole can be used as probes of the inner…

High Energy Astrophysical Phenomena · Physics 2019-08-14 Kaze W. K. Wong , Vishal Baibhav , Emanuele Berti

This paper extends the research on the self-consistent effective-one-body theory of a real spinless two-body system based on the post-Minkowskian approximation (Science China, 65, 100411, (2022)) to the case of a binary system for the…

General Relativity and Quantum Cosmology · Physics 2024-09-26 Jiliang Jing , Weike Deng , Sheng Long , Jieci Wang

We consider the evolution of a supermassive black hole binary (SMBHB) surrounded by a retrograde accretion disk. Assuming the disk is exactly in the binary plane and transfers energy and angular momentum to the binary via direct gas…

High Energy Astrophysical Phenomena · Physics 2015-06-17 Jeremy D. Schnittman , Julian H. Krolik

We revisit the scenario of small-mass-ratio (q) black-hole binaries; performing new, more accurate, simulations of mass ratios 10:1 and 100:1 for initially nonspinning black holes. We propose fitting functions for the trajectories of the…

General Relativity and Quantum Cosmology · Physics 2011-12-13 Hiroyuki Nakano , Yosef Zlochower , Carlos O. Lousto , Manuela Campanelli

The post-Newtonian approximation is useful to discuss gravitational waveforms for binary inspirals. In this note, for retrograde circular orbits in the equatorial plane, we discuss the region of validity of the post-Newtonian approximation…

General Relativity and Quantum Cosmology · Physics 2017-12-22 Ryuichi Fujita , Norichika Sago , Hiroyuki Nakano

A typical stellar mass black hole with a lighter companion is shown to succumb to a chaotic precession of the orbital plane. As a result, the optimal candidates for the direct detection of gravitational waves by Earth based interferometers…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Janna Levin

In this work we present IMRPhenomTP, a time domain phenomenological model for the dominant $l=2$, $m=|2|$ modes of coalescing black hole binary systems and its extension to describe general precessing systems within the "twisting up"…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Héctor Estellés , Antoni Ramos-Buades , Sascha Husa , Cecilio García-Quirós , Marta Colleoni , Leïla Haegel , Rafel Jaume

We present a highly accurate, fully analytical model for the late inspiral, merger, and ringdown of black-hole binaries with arbitrary mass ratios and spin vectors, including the contributions of harmonics beyond the fundamental mode. This…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Sean T. McWilliams

We present a novel theoretical framework for analysing the stability of rotating black hole spacetimes through the conformal properties of the Weyl tensor. By introducing a new conformal invariant constructed from the electric and magnetic…

General Relativity and Quantum Cosmology · Physics 2025-08-28 Nader Haddad

We study the spin dynamics of individual black holes in a binary system. In particular we focus on the polar precession of spins and the possibility of a complete flip of spins with respect to the orbital plane. We perform a full numerical…

General Relativity and Quantum Cosmology · Physics 2016-02-17 Carlos O. Lousto , James Healy , Hiroyuki Nakano

We propose a quasi-local formula for the linear momentum of black-hole horizons inspired by the formalism of quasi-local horizons. We test this formula using two complementary configurations: (i) by calculating the large orbital linear…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Badri Krishnan , Carlos O. Lousto , Yosef Zlochower

We discuss motion of a binary system around a supermassive black hole. Using Fermi-Walker transport, we construct a local inertial reference frame and set up a Newtonian binary system. Assuming a circular geodesic observer around a…

General Relativity and Quantum Cosmology · Physics 2023-06-28 Kei-ichi Maeda , Priti Gupta , Hirotada Okawa
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