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Gravitational-wave observations of binary black holes currently rely on theoretical models that predict the dominant multipoles (l,m) of the radiation during inspiral, merger and ringdown. We introduce a simple method to include the…

General relativity predicts the gravitational wave signatures of coalescing binary black holes. Explicit waveform predictions for such systems, required for optimal analysis of observational data, have so far been achieved using the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 John G. Baker , James R. van Meter , Sean T. McWilliams , Joan Centrella , Bernard J. Kelly

High-accuracy binary black hole simulations are presented for black holes with spins anti-aligned with the orbital angular momentum. The particular case studied represents an equal-mass binary with spins of equal magnitude S/m^2=0.43757 \pm…

General Relativity and Quantum Cosmology · Physics 2010-01-08 Tony Chu , Harald P. Pfeiffer , Mark A. Scheel

Standard choices of quasi-circular orbit parameters for black-hole binary evolutions result in eccentric inspiral. We introduce a conceptually simple method, which is to integrate the post-Newtonian equations of motion through hundreds of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sascha Husa , Mark Hannam , Jose A. Gonzalez , Ulrich Sperhake , Bernd Bruegmann

We investigate the non-adiabatic dynamics of spinning black hole binaries by using an analytical Hamiltonian completed with a radiation-reaction force, containing spin couplings, which matches the known rates of energy and angular momentum…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Alessandra Buonanno , Yanbei Chen , Thibault Damour

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

Motivated by the possibility of observing gravitational waves from merging black holes whose spins are nearly extremal (i.e., 1 in dimensionless units), we present numerical waveforms from simulations of merging black holes with the highest…

General Relativity and Quantum Cosmology · Physics 2012-01-30 Geoffrey Lovelace , Michael Boyle , Mark A. Scheel , Bela Szilagyi

We compute the quadrupole mode of the gravitational waveform of inspiralling compact binaries at the third and a half post-Newtonian (3.5PN) approximation of general relativity. The computation is performed using the multipolar…

General Relativity and Quantum Cosmology · Physics 2012-10-01 Guillaume Faye , Sylvain Marsat , Luc Blanchet , Bala R. Iyer

This article studies sufficient accuracy criteria of hybrid post-Newtonian (PN) and numerical relativity (NR) waveforms for parameter estimation of strong binary black-hole sources in second- generation ground-based gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Ilana MacDonald , Abdul H. Mroue , Harald P. Pfeiffer , Michael Boyle , Lawrence E. Kidder , Mark A. Scheel , Bela Szilagyi , Nicholas W. Taylor

Several scenarios have been proposed in which the orbits of binary black holes enter the band of a gravitational wave detector with significant eccentricity. To avoid missing these signals or biasing parameter estimation it is important…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Neil J. Cornish , Joey Shapiro Key

We analyze galactic black hole mergers and their emitted gravitational waves. Such mergers have typically unequal masses with mass ratio of the order 1/10. The emitted gravitational waves carry the inprint of spins and mass quadrupoles of…

General Relativity and Quantum Cosmology · Physics 2009-11-18 László Á. Gergely , Peter L. Biermann , Balázs Mikóczi , Zoltán Keresztes

We study the effect of non-quadrupolar modes in the detection and parameter estimation of gravitational waves (GWs) from non-spinning black-hole binaries. We evaluate the loss of signal-to-noise ratio and the systematic errors in the…

General Relativity and Quantum Cosmology · Physics 2014-12-10 Vijay Varma , Parameswaran Ajith , Sascha Husa , Juan Calderon Bustillo , Mark Hannam , Michael Puerrer

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…

General Relativity and Quantum Cosmology · Physics 2022-12-21 Quentin Henry , Sylvain Marsat , Mohammed Khalil

Using the multipolar post-Minkowskian and matching formalism we compute the gravitational waveform of inspiralling compact binaries moving in quasi-circular orbits at the second and a half post-Newtonian (2.5PN) approximation to general…

General Relativity and Quantum Cosmology · Physics 2014-11-17 K G Arun , Luc Blanchet , Bala R Iyer , Moh'd S S Qusailah

The first spectral numerical simulations of 16 orbits, merger, and ringdown of an equal-mass non-spinning binary black hole system are presented. Gravitational waveforms from these simulations have accumulated numerical phase errors through…

General Relativity and Quantum Cosmology · Physics 2009-01-20 Mark A. Scheel , Michael Boyle , Tony Chu , Lawrence E. Kidder , Keith D. Matthews , Harald P. Pfeiffer

Detection of gravitational waves from compact binaries involving at least one intermediate mass black hole, and component mass ratios in the range $0.1$-$10^{-4}$, are among the primary sources for future space detectors with target strain…

General Relativity and Quantum Cosmology · Physics 2026-02-25 M Laxman , Ryuichi Fujita , Chandra Kant Mishra

This article provides the details on the technical derivation of the gravitational waveform and total gravitational-wave energy flux of non-spinning compact binary systems to the 4PN (fourth post-Newtonian) order beyond the Einstein…

General Relativity and Quantum Cosmology · Physics 2023-10-03 Luc Blanchet , Guillaume Faye , Quentin Henry , François Larrouturou , David Trestini

We present an analytical waveform family describing gravitational waves (GWs) from the inspiral, merger and ringdown of non-spinning black-hole binaries including the effect of several non-quadrupole modes [($\ell = 2, m = \pm 1), (\ell =…

General Relativity and Quantum Cosmology · Physics 2017-12-20 Ajit Kumar Mehta , Chandra Kant Mishra , Vijay Varma , Parameswaran Ajith

We present our 3.5PN computation of the (2,2) mode of the gravitational wave amplitude emitted by compact binaries, on quasi-circular orbits and in the absence of spins. We use the multipolar post-Newtonian wave generation formalism,…

General Relativity and Quantum Cosmology · Physics 2012-10-09 Guillaume Faye , Sylvain Marsat , Luc Blanchet , Bala R. Iyer

As gravitational-wave (GW) observations of binary black holes are becoming a precision tool for physics and astronomy, several subdominant effects in the GW signals need to be accurately modeled. Previous studies have shown that neglecting…

General Relativity and Quantum Cosmology · Physics 2019-07-22 Ajit Kumar Mehta , Praveer Tiwari , Nathan K. Johnson-McDaniel , Chandra Kant Mishra , Vijay Varma , Parameswaran Ajith