Journal
PHYSICAL REVIEW D
Volume 65, Issue 8, Pages -Publisher
AMERICAN PHYSICAL SOC
DOI: 10.1103/PhysRevD.65.084040
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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 equal-g(rr)(-1)), parametrized by the Arnowitt-Deser-Misner mass and the parametrized post-Newtonian parameter beta, which reduce to Schwarzschild for beta=1. Agreement with observations requires \beta-1\similar to\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-Nordstrom spare-time (η>0). In the latter case, we find a family of black hole space-times completely regular.
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