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The horizons of two Schwarzschild black holes
Authors:N. T. Bishop
Affiliation:(1) Department of Applied Mathematics, University of the Witwatersrand, 1 Jan Smuts Avenue, 2001 Johannesburg, South Africa
Abstract:The problem investigated is that of two Schwarzschild black holes of massesm1 andm2Ltm1, which are initially at rest on a time-symmetric spacelike hypersurface. An asymptotic formula asm2rarr0 is found for the maximum separation betweenm1 andm2 such that a connected component of the apparent horizon encloses bothm1 andm2. The problem is solved numerically.
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