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

Understand

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.