Instability of higher dimensional charged black holes in the de-Sitter world

TL;DR

This paper demonstrates that higher-dimensional charged black holes in de-Sitter space become gravitationally unstable at high charge and cosmological constant in dimensions seven and above, highlighting dimensional stability differences.

Contribution

It reveals the instability of higher-dimensional Reissner-Nordström-de Sitter black holes for large charge and cosmological constant in dimensions D ≥ 7, and characterizes the threshold perturbation shape.

Findings

Black holes unstable for large charge and cosmological constant in D ≥ 7

Shape of perturbed black hole at instability threshold identified

Stability of D=4, 5, 6 remains unexplained

Abstract

We have shown that higher dimensional Reissner-Nordstr\"om-de Sitter black holes are gravitationally unstable for large values of the electric charge and cosmological constant in $D \geq 7$ space-time dimensions. We have found the shape of the slightly perturbed black hole at the threshold point of instability. Why only $D=4, 5$ and 6 dimensional worlds are favorable as to the black stability remains unknown.