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New black holes in the brane-world?

Roberto Casadio·Alessandro Fabbri·Lorenzo Mazzacurati
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Abstract

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 |β-1| |η|<<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.

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Roberto Casadio, Alessandro Fabbri, Lorenzo Mazzacurati. 2002-01-30. New black holes in the brane-world?. https://doi.org/10.1103/physrevd.65.084040

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