Comparison of Post-Newtonian and Numerical Evolutions of Black-Hole Binaries

Details Comparison of Post-Newtonian and Numerical Evolutions of Black-Hole Binaries Comparison of Post-Newtonian and Numerical Evolutions of Black-Hole Binaries

2009-01-24

arxiv.org/abs/0901.3861v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, 2 figures, prepared for the proceedings of the 18th workshop on general relativity and gravitation, Hiroshima, Japan,

Scientific paper

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 $S_2/m_2^2\sim0.4$, and orbit 9 times from an initial orbital separation of $r\approx11M$ prior to merger. We observe a reasonably good agreement between the PN and numerical waveforms, with an overlap of over 98% for the first six cycles of the $(\ell=2,m=\pm2)$ mode and over 90% for the $(\ell=2,m=1)$ and $(\ell=3,m=3)$ modes.

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