Perturbations and Stability of Higher-Dimensional Black Holes
Hideo Kodama
TL;DR
This paper discusses the gauge-invariant approach to analyzing perturbations of higher-dimensional black holes and black branes, focusing on their stability properties across various spacetime configurations.
Contribution
It introduces a gauge-invariant formulation for perturbations of Einstein fibered spacetimes, applicable to a wide class of higher-dimensional black objects.
Findings
Stability analysis of static higher-dimensional black holes
Stability of flat black branes
Framework applicable to rotating black holes in multiple dimensions
Abstract
In this lecture, I explain the gauge-invariant formulation for perturbations of background spacetimes with untwisted homologous Einstein fibres, which include lots of practically important spacetimes such as static black holes, static black branes and rotating black holes in various dimensions. As applications, we discuss the stability of static black holes in higher dimensions and flat black branes.
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