p-Brane Black Holes as Stability Islands

TL;DR

This paper demonstrates that in multidimensional gravity with p-branes, single-brane black hole solutions are stable under spherically symmetric perturbations, unlike naked singularity solutions which are unstable, with implications for supergravity models.

Contribution

It establishes the stability of single-brane black holes in multidimensional gravity with p-branes, extending results to intersecting branes and showing independence from specific model parameters.

Findings

Single-brane black holes are stable under spherical perturbations.

Naked singular solutions are catastrophically unstable.

Stability results apply across various configurations, including some in 11D supergravity.

Abstract

In multidimensional gravity with an arbitrary number of internal Ricci-flat factor spaces, interacting with electric and magnetic $p$-branes, spherically symmetric configurations are considered. It is shown that all single-brane black-hole solutions are stable under spherically symmetric perturbations, whereas similar solutions possessing naked singularities turn out to be catastrophically unstable. The black hole stability conclusion is extended to some classes of configurations with intersecting branes. These results do not depend on the particular composition of the $D$-dimensional space-time, on the number of dilatonic scalar fields $\phi^a$ and on the values of their coupling constants. Some examples from 11-dimensional supergravity are considered.