Instability of higher dimensional extreme black holes

Keiju Murata

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

We study linearized gravitational perturbations of extreme black hole solutions of the vacuum Einstein equation in any number of dimensions. We find that the equations governing such perturbations can be decoupled at the future event horizon. Using these equations, we show that the transverse derivatives of certain gauge invariant quantities blow up at late time along the horizon if the black hole solution satisfies certain conditions. We find that these conditions are indeed satisfied by many extreme Myers-Perry solutions, including all such solutions in five dimensions.

Original languageEnglish
Article number075002
JournalClassical and Quantum Gravity
Volume30
Issue number7
DOIs
Publication statusPublished - 2013 Apr 7
Externally publishedYes

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perturbation
event horizon
Einstein equations
horizon
vacuum

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

Instability of higher dimensional extreme black holes. / Murata, Keiju.

In: Classical and Quantum Gravity, Vol. 30, No. 7, 075002, 07.04.2013.

Research output: Contribution to journalArticle

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