Approximate Black Holes for Numerical Relativity
Maurice H. P. M. van Putten
Abstract
Spherically symmetric solutions in Brans-Dicke theory of relativity with zero coupling constant, ω=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 approximate black holes for the use in numerical relativity, in particular for treatment of horizon boundary conditions.
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