Asymptotically AdS brane black holes

TL;DR

This paper investigates the existence and properties of static, asymptotically AdS black holes localized on branes within the Randall-Sundrum framework, providing explicit solutions and analyzing their internal structure.

Contribution

It demonstrates the possibility of such brane black holes and constructs explicit regular solutions satisfying physical energy conditions.

Findings

Existence of asymptotically AdS brane black hole solutions

Regularity of bulk and brane metrics outside the horizon

Signature change occurs inside the black hole horizon

Abstract

We study the possibility of having a static, asymptotically AdS black hole localized on a braneworld with matter fields, within the framework of the Randall and Sundrum scenario. We attempt to look for such a brane black hole configuration by slicing a given bulk spacetime and taking Z_2 symmetry about the slices. We find that such configurations are possible, and as an explicit example, we provide a family of asymptotically AdS brane black hole solutions for which both the bulk and brane metrics are regular on and outside the black hole horizon and brane matter fields are realistic in the sense that the dominant energy condition is satisfied. We also find that our braneworld models exhibit signature change inside the black hole horizon.