Five-dimensional regular black holes in a brane world

TL;DR

This paper presents complete five-dimensional solutions for regular black holes within a brane world framework, demonstrating regularity in both the four-dimensional brane and five-dimensional bulk, with a de Sitter core avoiding singularities.

Contribution

It provides the first analytic, complete solutions of regular black holes in a brane world, showing their regularity in both brane and bulk and detailing their geometric structure.

Findings

Metrics are regular on the brane and in the bulk.

Bulk spacetime is asymptotically anti-de Sitter.

De Sitter core on the brane prevents singularity.

Abstract

Following a recent approach, complete and analytic solutions (brane and bulk) of regular black holes are shown in a brane context. The metrics are regular both on the four-dimensional brane and in the five-dimensional bulk. Like many brane world scenarios, the bulk spacetime is asymptotically anti-de Sitter. On the other hand, a de Sitter core on the brane avoids the singularity inside the event horizon, providing then well-known regular black holes on the brane. From the bulk perspective, the regular black holes are five-dimensional objects, with the event horizon extending to the extra dimension, but the de Sitter core is entirely on the four-dimensional brane.