paper

On the Localisation of 4-Dimensional Brane-World Black Holes

arXiv:1309.7642 · doi:10.1088/0264-9381/30/23/235017

Abstract

In the context of brane-world models, we pursue the question of the existence of 5-dimensional solutions describing regular black holes localised close to the brane. Employing a perturbed Vaidya-type line-element embedded in a warped fifth dimension, we attempt to localise the extended black-string singularity, and to restore the regularity of the AdS spacetime at a finite distance from the brane by introducing an appropriate bulk energy-momentum tensor. As a source for this bulk matter, we are considering a variety of non-ordinary field-theory models of scalar fields either minimally-coupled to gravity, but including non-canonical kinetic terms, mixing terms, derivative interactions and ghosts, or non-minimally-coupled to gravity through a general coupling to the Ricci scalar. In all models considered, even in the ones characterised by a high-degree of flexibility, a negative result was reached. Our analysis demonstrates how difficult the analytic construction of a localised brane-world black hole may be in the context of a well-defined field-theory model. Finally, with regard to the question of the existence or not of a static classical black hole solution on the brane, our analysis suggests that such solutions could in principle exist, however, the associated field configuration itself has to be dynamic.

23 pages, Latex2e file, submitted for publication in Classical and Quantum Gravity

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