Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2001-11-21
Phys.Rev.D65:084040,2002
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
4 pages, RevTeX, 3 eps figures, final version to appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.65.084040
It is known that the Einstein field equations in five dimensions admit more general spherically symmetric black holes on the brane than four-dimensional general relativity. We propose two families of analytic solutions (with g_tt\not=-1/g_rr), parameterized by the ADM mass and the PPN parameter beta, which reduce to Schwarzschild for beta=1. Agreement with observations requires |\beta-1| |\eta|<<1. The sign of eta plays a key role in the global causal structure, separating metrics which behave like Schwarzschild (eta<0) from those similar to Reissner-Nordstroem (eta>0). In the latter case, we find a family of black hole space-times completely regular.
Casadio Roberto
Fabbri Alessandro
Mazzacurati Lorenzo
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