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Numerical simulations of 15 orbits of an equal-mass binary black hole system are presented. Gravitational waveforms from these simulations, covering more than 30 cycles and ending about 1.5 cycles before merger, are compared with those from…

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…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Mark Hannam , Sascha Husa , Bernd Brügmann , Achamveedu Gopakumar

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…

广义相对论与量子宇宙学 · 物理学 2009-01-27 Hiroyuki Nakano , Manuela Campanelli , Carlos O. Lousto , Yosef Zlochower

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…

广义相对论与量子宇宙学 · 物理学 2011-06-08 Ulrich Sperhake , Bernd Bruegmann , Doreen Mueller , Carlos F. Sopuerta

We present various post-Newtonian (PN) models for the phase evolution of compact objects moving along quasi-spherical orbits in Kerr spacetime derived by using the 12PN analytic formulas of the energy, angular momentum and their averaged…

广义相对论与量子宇宙学 · 物理学 2025-03-28 Norichika Sago , Ryuichi Fujita , Hiroyuki Nakano

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…

广义相对论与量子宇宙学 · 物理学 2014-11-18 Ian Hinder , Frank Herrmann , Pablo Laguna , Deirdre Shoemaker

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.…

广义相对论与量子宇宙学 · 物理学 2010-12-24 Mark Hannam , Sascha Husa , Frank Ohme , Doreen Mueller , Bernd Bruegmann

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…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Mark Hannam , Sascha Husa , Jose A. Gonzalez , Ulrich Sperhake , Bernd Bruegmann

Binary black-hole systems are expected to be important sources of gravitational waves for upcoming gravitational-wave detectors. If the spins are not colinear with each other or with the orbital angular momentum, these systems exhibit…

广义相对论与量子宇宙学 · 物理学 2016-08-07 Serguei Ossokine , Michael Boyle , Lawrence E. Kidder , Harald P. Pfeiffer , Mark A. Scheel , Béla Szilágyi

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…

广义相对论与量子宇宙学 · 物理学 2008-11-26 John G. Baker , James R. van Meter , Sean T. McWilliams , Joan Centrella , Bernard J. Kelly

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…

广义相对论与量子宇宙学 · 物理学 2009-11-13 Manuela Campanelli , Carlos O. Lousto , Hiroyuki Nakano , Yosef Zlochower

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…

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…

广义相对论与量子宇宙学 · 物理学 2013-07-04 Carlos O. Lousto , Yosef Zlochower

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.…

广义相对论与量子宇宙学 · 物理学 2026-05-21 Dongze Sun , Béatrice Bonga , Leo C. Stein , Guido Da Re

Numerical relativity (NR) provides the most accurate waveforms for comparable-mass binary black holes but becomes prohibitively expensive for increasingly asymmetric mass ratios. Point-particle black hole perturbation theory (ppBHPT), which…

广义相对论与量子宇宙学 · 物理学 2025-10-02 Tousif Islam , Gaurav Khanna , Scott E. Field

Extreme mass ratio inspirals (EMRIs), the inspirals of compact objects into supermassive black holes, are important gravitational wave sources for the Laser Interferometer Space Antenna (LISA). We study the performance of various…

广义相对论与量子宇宙学 · 物理学 2013-07-31 Vijay Varma , Ryuichi Fujita , Ashok Choudhary , Bala R. Iyer

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

Complete expressions of time-domain gravitational waveforms for spinning binary inspirals via the post-Newtonian (PN) approximation would require determination of the phase, amplitude, inclination angle, precession phase and spin vectors as…

广义相对论与量子宇宙学 · 物理学 2010-01-19 Dong-Hoon Kim

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…

广义相对论与量子宇宙学 · 物理学 2020-07-08 Ssohrab Borhanian , K. G. Arun , Harald P. Pfeiffer , B. S. Sathyaprakash

Past studies have empirically demonstrated a surprising agreement between gravitational waveforms computed using adiabatic-driven-inspiral point-particle black hole perturbation theory (ppBHPT) and numerical relativity (NR) following a…

广义相对论与量子宇宙学 · 物理学 2024-02-06 Tousif Islam , Scott E. Field , Gaurav Khanna
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