Instability of Charged Anti-de Sitter Black Holes

TL;DR

This paper investigates the fragmentation instability of charged anti-de Sitter black holes across multiple dimensions, revealing conditions under which they break into smaller black holes, with detailed numerical analysis supporting the findings.

Contribution

It provides a detailed numerical study of black hole fragmentation instability in higher-dimensional anti-de Sitter spaces, extending previous four-dimensional analyses.

Findings

Regions near extremal or massive black holes are unstable under fragmentation.

Instability depends on the mass and charge of both initial and fragmented black holes.

Higher-dimensional cases show similar qualitative instability behavior as four-dimensional cases.

Abstract

We study the instability of charged anti-de Sitter black holes in four or higher-dimension under fragmentation. The instability of fragmentation breaks the black hole into two black holes. We have found that the region near extremal or massive black holes become unstable under fragmentation. These regions depend not only on the mass and charge of initial black hole but also those of the fragmented one. The instability in higher-dimension is qualitatively similar to that of four-dimension. The detailed instabilities are numerically investigated.