Schwarzschild Black Branes and Strings in higher-dimensional Brane Worlds

TL;DR

This paper explores higher-dimensional brane-world models with Schwarzschild black holes, analyzing the properties of the spacetime and demonstrating that certain singularities are benign due to normalizable bulk modes.

Contribution

It introduces new brane-world solutions with Schwarzschild black holes and shows that the associated singularities are harmless because of normalizable bulk modes.

Findings

Normalizable bulk modes prevent energy flow through singularities

Naked singularities are shown to be harmless in these models

New classes of black brane and string solutions are constructed

Abstract

We consider branes embedded in spacetimes of codimension one and two, with a warped metric tensor for the subspace parallel to the brane. We study a variety of brane-world solutions arising by introducing a Schwarzschild-like black hole metric on the brane and we investigate the properties of the corresponding higher-dimensional spacetime. We demonstrate that normalizable bulk modes lead to a vanishing flow of energy through the naked singularities. From this point of view, these singularities are harmless.