Approximate initial data for binary black holes

Details Approximate initial data for binary black holes Approximate initial data for binary black holes

2006-06-08

arxiv.org/abs/gr-qc/0606037v2

Phys.Rev. D74 (2006) 064016

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, 4 figures, added comparison to numerical calculations, accepted to PRD

Scientific paper

10.1103/PhysRevD.74.064016

We construct approximate analytical solutions to the constraint equations of general relativity for binary black holes of arbitrary mass ratio in quasicircular orbit. We adopt the puncture method to solve the constraint equations in the transverse-traceless decomposition and consider perturbations of Schwarzschild black holes caused by boosts and the presence of a binary companion. A superposition of these two perturbations then yields approximate, but fully analytic binary black hole initial data that are accurate to first order in the inverse of the binary separation and the square of the black holes' momenta.

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