Thermodynamic stability of asymptotically anti-de Sitter rotating black holes in higher dimensions

Brian P. Dolan

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Conditions for thermodynamic stability of asymptotically anti-de Sitter (AdS) rotating black holes in D-dimensions are determined. Local thermodynamic stability requires not only positivity conditions on the specific heat and the moment of inertia tensor but it is also necessary that the adiabatic compressibility be positive. It is shown that, in the absence of a cosmological constant, neither rotation nor charge is sufficient to ensure full local thermodynamic stability of a black hole. Thermodynamic stability properties of AdS Myers-Perry black holes are investigated for both singly spinning and multi-spinning black holes. Simple expressions are obtained for the specific heat and moment of inertia tensor in any dimension. An analytic expression is obtained for the boundary of the region of parameter space in which such space-times are thermodynamically stable.

Original languageEnglish
Article number165011
JournalClassical and Quantum Gravity
Volume31
Issue number16
DOIs
Publication statusPublished - 21 Aug 2014

Keywords

  • anti-de Sitter
  • black holes
  • higher dimensions
  • rotation
  • thermodynamics

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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