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 grr≠ - grr-1), parametrized by the Arnowitt-Deser-Misner mass and the parametrized post-Newtonian parameter β, which reduce to Schwarzschild for β = 1. Agreement with observations requires |β-1|∼| η|≪1. The sign of η plays a key role in the global causal structure, separating metrics which behave like Schwarzschild (η<0) from those similar to Reissner-Nordström spare-time (η>0). In the latter case, we find a family of black hole space-times completely regular.
Casadio, R., Fabbri, A., Mazzacurati, L. (2002). New black holes in the brane world?. PHYSICAL REVIEW D, 65(8 B), 840401-840405 [10.1103/PhysRevD.65.084040].
New black holes in the brane world?
Casadio R.;
2002
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 grr≠ - grr-1), parametrized by the Arnowitt-Deser-Misner mass and the parametrized post-Newtonian parameter β, which reduce to Schwarzschild for β = 1. Agreement with observations requires |β-1|∼| η|≪1. The sign of η plays a key role in the global causal structure, separating metrics which behave like Schwarzschild (η<0) from those similar to Reissner-Nordström spare-time (η>0). In the latter case, we find a family of black hole space-times completely regular.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
