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We compare results from numerical simulations of spinning binaries in the "orbital hangup" case, where the binary completes at least nine orbits before merger, with post-Newtonian results using the approximants TaylorT1, T4 and Et. We find…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Mark Hannam , Sascha Husa , Bernd Brügmann , Achamveedu Gopakumar

We analyze numerical-relativity (NR) waveforms that cover nine orbits (18 gravitational-wave cycles) before merger of an equal-mass system with low eccentricity, with numerical uncertainties of 0.25 radians in the phase and less than 2% in…

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

We present gravitational waveforms for the last orbits and merger of black-hole-binary (BBH) systems along two branches of the BBH parameter space: equal-mass binaries with equal non-precessing spins, and nonspinning unequal-mass binaries.…

General Relativity and Quantum Cosmology · Physics 2010-12-24 Mark Hannam , Sascha Husa , Frank Ohme , Doreen Mueller , Bernd Bruegmann

We present the first comparison between numerical relativity (NR) simulations of an eccentric binary black hole system with corresponding post-Newtonian (PN) results. We evolve an equal-mass, non-spinning configuration with an initial…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Ian Hinder , Frank Herrmann , Pablo Laguna , Deirdre Shoemaker

We compare waveforms and orbital dynamics from the first long-term, fully non-linear, numerical simulations of a generic black-hole binary configuration with post-Newtonian predictions. The binary has mass ratio q~0.8 with arbitrarily…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Manuela Campanelli , Carlos O. Lousto , Hiroyuki Nakano , Yosef Zlochower

In this paper, we compare the waveforms from the post-Newtonian (PN) approach with the numerical simulations of generic black-hole binaries which have mass ratio $q\sim0.8$, arbitrarily oriented spins with magnitudes $S_1/m_1^2\sim0.6$ and…

General Relativity and Quantum Cosmology · Physics 2009-01-27 Hiroyuki Nakano , Manuela Campanelli , Carlos O. Lousto , Yosef Zlochower

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

We compare the phase evolution of equal-mass nonspinning black-hole binaries from numerical relativity (NR) simulations with post-Newtonian (PN) results obtained from three PN approximants: the TaylorT1 and T4 approximants, for which NR-PN…

General Relativity and Quantum Cosmology · Physics 2009-02-24 Achamveedu Gopakumar , Mark Hannam , Sascha Husa , Bernd Brügmann

We analyse an eleven-orbit inspiral of a non-spinning black-hole binary with mass ratio q=M1/M2=4. The numerically obtained gravitational waveforms are compared with post-Newtonian (PN) predictions including several sub-dominant multipoles…

General Relativity and Quantum Cosmology · Physics 2011-06-08 Ulrich Sperhake , Bernd Bruegmann , Doreen Mueller , Carlos F. Sopuerta

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

Expressions for the gravitational wave (GW) energy flux and center-of-mass energy of a compact binary are integral building blocks of post-Newtonian (PN) waveforms. In this paper, we compute the GW energy flux and GW frequency derivative…

General Relativity and Quantum Cosmology · Physics 2009-02-23 Michael Boyle , Alessandra Buonanno , Lawrence E. Kidder , Abdul H. Mroué , Yi Pan , Harald P. Pfeiffer , Mark A. Scheel

Post-Newtonian (PN) theory provides the analytic foundation for modeling the early inspiral of binary black holes. However, as an asymptotic series, successive PN orders do not necessarily improve agreement with the full nonlinear dynamics.…

General Relativity and Quantum Cosmology · Physics 2026-05-21 Dongze Sun , Béatrice Bonga , Leo C. Stein , Guido Da Re

We present numerical relativity simulations of nine-orbit equal-mass binary neutron star covering the quasicircular late inspiral and merger. The extracted gravitational waveforms are analyzed for convergence and accuracy. Second order…

General Relativity and Quantum Cosmology · Physics 2012-05-23 Sebastiano Bernuzzi , Marcus Thierfelder , Bernd Bruegmann

Numerical relativity (NR) simulations of binary black holes provide precise waveforms, but are typically too computationally expensive to produce waveforms with enough orbits to cover the whole frequency band of gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2024-12-09 Dongze Sun , Michael Boyle , Keefe Mitman , Mark A. Scheel , Leo C. Stein , Saul A. Teukolsky , Vijay Varma

This article presents a study of the sufficient accuracy of post-Newtonian and numerical relativity waveforms for the most demanding usage case: parameter estimation of strong sources in advanced gravitational wave detectors. For black hole…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Ilana MacDonald , Samaya Nissanke , Harald P. Pfeiffer

We perform several black-hole binary evolutions using fully nonlinear numerical relativity techniques at separations large enough that low-order post-Newtonian expansions are expected to be accurate. As a case study, we evolve an equal-mass…

General Relativity and Quantum Cosmology · Physics 2013-07-04 Carlos O. Lousto , Yosef Zlochower

We analyze the spherical harmonic mode amplitudes of quasicircular, nonprecessing binary black hole mergers using 275 numerical relativity simulations from the SXS, RIT, and MAYA catalogs. We construct fits using the leading-order…

General Relativity and Quantum Cosmology · Physics 2026-04-16 Viviana A. Cáceres-Barbosa

Gravitational waves from the coalescence of two black holes carry the signature of the strong field dynamics of binary black holes. In this work we have used numerical relativity simulations and post-Newtonian theory to investigate this…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Ssohrab Borhanian , K. G. Arun , Harald P. Pfeiffer , B. S. Sathyaprakash

One way to produce complete inspiral-merger-ringdown gravitational waveforms from black-hole-binary systems is to connect post-Newtonian (PN) and numerical-relativity (NR) results to create "hybrid" waveforms. Hybrid waveforms are central…

General Relativity and Quantum Cosmology · Physics 2011-01-17 Mark Hannam , Sascha Husa , Frank Ohme , P. Ajith

With recent advances in post-Newtonian (PN) theory and numerical relativity (NR) it has become possible to construct inspiral-merger-ringdown waveforms by combining both descriptions into one hybrid signal. While addressing the reliability…

General Relativity and Quantum Cosmology · Physics 2011-09-30 Frank Ohme , Mark Hannam , Sascha Husa
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