Colliding black holes: how far can the close approximation go?

Details Colliding black holes: how far can the close approximation go? Colliding black holes: how far can the close approximation go?

1996-09-09

arxiv.org/abs/gr-qc/9609022v1

Phys.Rev.Lett. 77 (1996) 4483-4486

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, RevTeX, 2 figures included with epsf

Scientific paper

10.1103/PhysRevLett.77.4483

We study the head-on collision of two equal-mass momentarily stationary black holes, using black hole perturbation theory up to second order. Compared to first-order results, this significantly improves agreement with numerically computed waveforms and energy. Much more important, second-order results correctly indicate the range of validity of perturbation theory. This use of second-order, to provide ``error bars,'' makes perturbation theory a viable tool for providing benchmarks for numerical relativity in more generic collisions and, in some range of collision parameters, for supplying waveform templates for gravitational wave detection.

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