Stable non-uniform black strings below the critical dimension

Pau Figueras, Keiju Murata, Harvey S. Reall

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

The higher-dimensional vacuum Einstein equation admits translationally nonuniform black string solutions. It has been argued that infinitesimally non-uniform black strings should be unstable in 13 or fewer dimensions and otherwise stable. We construct numerically non-uniform black string solutions in 11, 12, 13, 14 and 15 dimensions. Their stability is investigated using local Penrose inequalities. Weakly non-uniform solutions behave as expected. However, in 12 and 13 dimensions, strongly non-uniform solutions appear to be stable and can have greater horizon area than a uniform string of the same mass. In 14 and 15 dimensions all non-uniform black strings appear to be stable.

Original languageEnglish
Article number071
JournalJournal of High Energy Physics
Volume2012
Issue number11
DOIs
Publication statusPublished - 2012
Externally publishedYes

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strings
Einstein equations
horizon
vacuum

Keywords

  • Black holes
  • Classical theories of gravity

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Stable non-uniform black strings below the critical dimension. / Figueras, Pau; Murata, Keiju; Reall, Harvey S.

In: Journal of High Energy Physics, Vol. 2012, No. 11, 071, 2012.

Research output: Contribution to journalArticle

Figueras, Pau ; Murata, Keiju ; Reall, Harvey S. / Stable non-uniform black strings below the critical dimension. In: Journal of High Energy Physics. 2012 ; Vol. 2012, No. 11.
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