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We present an approximate metric for a binary black hole spacetime to construct initial data for numerical relativity. This metric is obtained by asymptotically matching a post-Newtonian metric for a binary system to a perturbed…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Nicolas Yunes , Wolfgang Tichy , Benjamin J. Owen , Bernd Bruegmann

We study zoom-whirl behaviour of equal mass, non-spinning black hole binaries in full general relativity. The magnitude of the linear momentum of the initial data is fixed to that of a quasi-circular orbit, and its direction is varied. We…

General Relativity and Quantum Cosmology · Physics 2010-05-07 Roman Gold , Bernd Bruegmann

We present the first analytical inspiral-merger-ringdown gravitational waveforms from binary black holes (BBHs) with non-precessing spins, that is based on a description of the late-inspiral, merger and ringdown in full general relativity.…

General Relativity and Quantum Cosmology · Physics 2011-06-27 P. Ajith , M. Hannam , S. Husa , Y. Chen , B. Bruegmann , N. Dorband , D. Mueller , F. Ohme , D. Pollney , C. Reisswig , L. Santamaria , J. Seiler

The eccentricity of binary black-hole mergers is predicted to be an indicator of the history of their formation. In particular, eccentricity is a strong signature of dynamical formation rather than formation by stellar evolution in isolated…

High Energy Astrophysical Phenomena · Physics 2023-11-14 Eamonn O'Shea , Prayush Kumar

Gravitational radiation reaction, has been one of the fundamental issues in general relativity. Over a span of decades, this process has been analyzed in the adiabatic limit, in order to comprehend how it drives extreme-mass-ratio binaries,…

General Relativity and Quantum Cosmology · Physics 2024-12-04 Areti Eleni , Kyriakos Destounis , Theocharis A. Apostolatos , Kostas D. Kokkotas

We study binary systems in which a stellar mass compact object spirals into a massive black hole, known as extreme mass ratio inspirals, in scenarios with a new fundamental scalar field. Earlier work has shown that, in most interesting such…

General Relativity and Quantum Cosmology · Physics 2022-09-15 Susanna Barsanti , Nicola Franchini , Leonardo Gualtieri , Andrea Maselli , Thomas P. Sotiriou

We review some recent works on the post-Newtonian theory of slowly-moving (post-Newtonian) sources, and its application to the problems of dynamics and gravitational radiation from compact binary systems. Our current knowledge is 3PN on the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Luc Blanchet

We derive an exact formula $F(e)$ which provides a concrete estimate for the total number and angular momentum of gravitons emitted during the nonrelativistic inspiral of two black holes. We show that the function $F(e)$ is a slowly growing…

General Relativity and Quantum Cosmology · Physics 2025-01-22 Youngjoo Chung , Hyun Seok Yang

The instantaneous contributions to the 3PN gravitational wave luminosity from the inspiral phase of a binary system of compact objects moving in a quasi elliptical orbit is computed using the multipolar post-Minkowskian wave generation…

General Relativity and Quantum Cosmology · Physics 2009-11-13 K. G. Arun , Luc Blanchet , Bala R. Iyer , Moh'd S. S. Qusailah

Black hole binaries with small mass ratios will be critical targets for the forthcoming Laser Interferometer Space Antenna (LISA) mission. They also serve as useful tools for understanding the properties of binaries at general mass ratios.…

General Relativity and Quantum Cosmology · Physics 2025-02-27 Devin R. Becker , Scott A. Hughes

We report on early results of a numerical and statistical study of binary black hole inspirals. The two black holes are evolved using post-Newtonian approximations starting with initially randomly distributed spin vectors. We characterize…

General Relativity and Quantum Cosmology · Physics 2016-09-08 Frank Herrmann , John Silberholz , Matias Bellone , Gustavo Guerberoff , Manuel Tiglio

We construct a new global, fully analytic, approximate spacetime which accurately describes the dynamics of non-precessing, spinning black hole binaries during the inspiral phase of the relativistic merger process. This approximate solution…

General Relativity and Quantum Cosmology · Physics 2016-06-01 Brennan Ireland , Bruno C. Mundim , Hiroyuki Nakano , Manuela Campanelli

Astrophysically realistic black holes may have spins that are nearly extremal (i.e., close to 1 in dimensionless units). Numerical simulations of binary black holes are important tools both for calibrating analytical templates for…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Geoffrey Lovelace , Mark A. Scheel , Bela Szilagyi

We present a time-domain inspiral-merger-ringdowm (IMR) waveform model ESIGMAHM constructed within a framework we named ESIGMA for coalescing binaries of spinning black holes on moderately eccentric orbits (Huerta et al. (2018) [Phys. Rev.…

General Relativity and Quantum Cosmology · Physics 2025-05-01 Kaushik Paul , Akash Maurya , Quentin Henry , Kartikey Sharma , Pranav Satheesh , Divyajyoti , Prayush Kumar , Chandra Kant Mishra

Compact binaries inspiralling along eccentric orbits are plausible gravitational wave (GW) sources for the ground-based laser interferometers. We explore the losses in the event rates incurred when searching for GWs from compact binaries…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Tessmer , A. Gopakumar

We discuss the transition from quasi-circular inspiral to plunge of a system of two nonrotating black holes of masses $m_1$ and $m_2$ in the extreme mass ratio limit $m_1m_2\ll (m_1+m_2)^2$. In the spirit of the Effective One Body (EOB)…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alessandro Nagar , Thibault Damour , Angelo Tartaglia

We have investigated, both analytically and numerically, accreting supermassive black hole binaries as they inspiral due to gravitational radiation to elucidate the decoupling of binaries from their disks and inform future multi-messenger…

High Energy Astrophysical Phenomena · Physics 2026-04-27 Alexander J. Dittmann , Geoffrey Ryan , M. Coleman Miller

We propose a new radial coordinate to write the Kerr metric in puncture form. Unlike the quasi-radial coordinate introduced previously, the horizon radius remains finite in our radial coordinate in the extreme Kerr limit a/M -> 1. This…

General Relativity and Quantum Cosmology · Physics 2010-04-22 Yuk Tung Liu , Zachariah B. Etienne , Stuart L. Shapiro

We present preliminary results from self-consistent, high resolution direct {\it N}-body simulations of massive black hole binaries in mergers of galactic nuclei. The dynamics of the black hole binary includes the full Post-Newtonian…

Astrophysics · Physics 2011-07-19 Miguel Preto , Ingo Berentzen , Peter Berczik , David Merritt , Rainer Spurzem

Gravitational waves from coalescing binary black holes encode the evolution of their spins prior to merger. In the post-Newtonian regime and on the precession timescale, this evolution has one of three morphologies, with the spins either…

General Relativity and Quantum Cosmology · Physics 2016-03-02 Daniele Trifirò , Richard O'Shaughnessy , Davide Gerosa , Emanuele Berti , Michael Kesden , Tyson Littenberg , Ulrich Sperhake