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arxiv: gr-qc/9607074 · v1 · submitted 1996-07-30 · 🌀 gr-qc

Approximate Black Holes for Numerical Relativity

Maurice H.P.M. van Putten This is my paper
classification 🌀 gr-qc
keywords relativitysolutionsapproximateblackexteriorholesnumericalschwarzschild
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Spherically symmetric solutions in Brans-Dicke theory of relativity with zero coupling constant, $\omega=0$, are derived in the Schwarzschild line-element. The solutions are obtained from a cubic transition equation with one small parameter. The exterior space-time of one family of solutions is arbitrarily close to the exterior Schwarzschild space-time. These nontopological solitons have some similarity with soliton stars, and are proposed as candidates for {\em approximate black holes} for the use in numerical relativity, in particular for treatment of horizon boundary conditions.

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