Gravitational field in a collision of two Schwarzschild black holes

Details Gravitational field in a collision of two Schwarzschild black holes Gravitational field in a collision of two Schwarzschild black holes

Dec 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989gregr..21.1233t&link_type=abstract

General Relativity and Gravitation, Volume 21, Issue 12, pp.1233-1247

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Scientific paper

This paper presents an analysis of the linearized Einstein equations in vacuum for the problem of head-on collision of two Schwarzschild black holes, of which one is much smaller than the other. Based on the decomposition of the metric perturbations into spherical harmonics, introduced by Regge and Wheeler, we give some time-symmetric initial data and calculate the subsequent time-evolution of gravitational field. It is found that the small hole, initially at rest, begins to move like a freely falling particle. A wave-like disturbance generated near the small hole grows up and propagates in the direction opposite to the hole's motion. We investigate the area of the large Schwarzschild horizon distorted by the small hole to obtain the rate of increase with time.

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