Inhomogeneous Near-extremal Black Branes

TL;DR

This paper demonstrates the existence of stable inhomogeneous near-extremal black strings and p-branes in higher-dimensional gravity, including cases where the corresponding homogeneous solutions are stable, expanding understanding of black brane configurations.

Contribution

It introduces new inhomogeneous black string and p-brane solutions that exist even when the translationally invariant solutions are stable, particularly near-extremal cases.

Findings

Existence of inhomogeneous near-extremal black strings and p-branes.

Some solutions remain inhomogeneous at small compactification scales.

Inhomogeneous solutions exist beyond the unstable homogeneous solutions.

Abstract

It has recently been shown that there exist stable inhomogeneous neutral black strings in higher dimensional gravity. These solutions were motivated by the fact that the corresponding homogeneous solutions are unstable. We show that there exist new inhomogeneous black string and black p-brane solutions even when the corresponding translationally invariant solutions are stable. In particular, we show there exist inhomogeneous near-extremal black strings and p-branes. Some of these solutions remain inhomogeneous even when the size of the compact direction (at infinity) is very small.