Uniqueness and Stability of Higher-Dimensional Black Holes

TL;DR

This paper reviews the current understanding of the uniqueness and stability of higher-dimensional black holes, emphasizing perturbative analyses for static black holes in various dimensions and cosmological settings.

Contribution

It provides an overview of recent progress in the perturbative analysis of black hole uniqueness and stability in higher dimensions and with cosmological constants.

Findings

Summarizes key results on black hole stability in higher dimensions.

Highlights open problems in black hole uniqueness.

Reviews perturbative methods applied to black hole analysis.

Abstract

The present status of the uniqueness and stability issue of black holes in four and higher dimensions is overviewed with focus on the perturbative analysis of this issue for static black holes in higher dimensions as well as for those in four dimensions with cosmological constant.