Simulations of black-hole binaries with unequal masses or nonprecessing spins: Accuracy, physical properties, and comparison with post-Newtonian results

Hannam M.; Husa S.; Ohme F.Müller D.Brügmann B.

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Simulations of black-hole binaries with unequal masses or nonprecessing spins: Accuracy, physical properties, and comparison with post-Newtonian results

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We present gravitational waveforms for the last orbits and merger of black-hole-binary systems along two branches of the black-hole-binary parameter space: equal-mass binaries with equal nonprecessing spins, and nonspinning unequal-mass binaries. The waveforms are calculated from numerical solutions of Einstein's equations for black-hole binaries that complete between six and ten orbits before merger. Along the equal-mass spinning branch, the spin parameter of each black hole is χ_i=S_i/Mi2?-0.85,0.85, and along the unequal-mass branch the mass ratio is q=M_2/M _1?1,4. We discuss the construction of low-eccentricity puncture initial data for these cases, the properties of the final merged black hole, and compare the last 8-10 gravitational-wave cycles up to Mω=0.1 with the phase and amplitude predicted by standard post-Newtonian (PN) approximants. As in previous studies, we find that the phase from the 3.5PN TaylorT4 approximant is most accurate for nonspinning binaries. For equal-mass spinning binaries the 3.5PN TaylorT1 approximant (including spin terms up to only 2.5PN order) gives the most robust performance, but it is possible to treat TaylorT4 in such a way that it gives the best accuracy for spins χ_i>-0.75. When high-order amplitude corrections are included, the PN amplitude of the (l=2,m=±2) modes is larger than the numerical relativity amplitude by between 2-4.

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《Physical review, D. Particles, fields, gravitation, and cosmology》 |2010年第1期|124008-1-124008-22|共22页
作者
Hannam M.; Husa S.; Ohme F.Müller D.Brügmann B.;
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Departament de Física, Universitat de les Illes Balears, Cra. Valldemossa Km. 7.5, Palma de Mallorca E-07122, Spain;

Max-Planck-Institut für Gravitationsphysik, Am Mühlenberg 1, 14475 Potsdam, Germany;

Faculty of Physics, University of Vienna, Boltzmanngasse 5, A-1090 Vienna, AustriaTheoretical Physics Institute, University of Jena, 07743 Jena, Germany;

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中图分类粒子物理学;
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Simulations of black-hole binaries with unequal masses or nonprecessing spins: Accuracy, physical properties, and comparison with post-Newtonian results

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