Collisions of boosted black holes: perturbation theory prediction of gravitational radiation

Details Collisions of boosted black holes: perturbation theory prediction of gravitational radiation Collisions of boosted black holes: perturbation theory prediction of gravitational radiation

1994-05-23

arxiv.org/abs/gr-qc/9405051v2

Phys.Rev.D50:2364-2367,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages (RevTex 3.0 with 3 uuencoded figures), CRSR-1071

Scientific paper

10.1103/PhysRevD.50.R2364

We consider general relativistic Cauchy data representing two nonspinning, equal-mass black holes boosted toward each other. When the black holes are close enough to each other and their momentum is sufficiently high, an encompassing apparent horizon is present so the system can be viewed as a single, perturbed black hole. We employ gauge-invariant perturbation theory, and integrate the Zerilli equation to analyze these time-asymmetric data sets and compute gravitational wave forms and emitted energies. When coupled with a simple Newtonian analysis of the infall trajectory, we find striking agreement between the perturbation calculation of emitted energies and the results of fully general relativistic numerical simulations of time-symmetric initial data.

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