The horizons of two Schwarzschild black holes

Astronomy and Astrophysics – Astronomy

Scientific paper

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Black Holes (Astronomy), Cosmology, Schwarzschild Metric, Asymptotic Methods, Hyperspaces, Mass Distribution

Scientific paper

The problem investigated is that of two Schwarzschild black holes of masses m1 and m2 (much less than m1), which are initially at rest on a time-symmetric space-like hypersurface. An asymptotic formula as m2 approaches zero is found for the maximum separation between m1 and m2 such that a connected component of the apparent horizon encloses both m1 and m2. The problem is solved numerically.

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