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

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arxiv gr-qc/9609022 v1 pith:I2GK7OFO submitted 1996-09-09 gr-qc astro-ph

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

classification gr-qc astro-ph
keywords blackperturbationtheorycollisionholesrangeresultssecond-order
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 6 Pith papers

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    In the large-D limit, analytic third-order nonlinear corrections to quasinormal modes improve ringdown modeling accuracy by several orders of magnitude for head-on black hole collisions.

  5. Quasinormal modes of black holes and black branes

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