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


    Dolan, Brian P. (2014) Thermodynamic stability of asymptotically anti-de Sitter rotating black holes in higher dimensions. Classical and Quantum Gravity, 31 (165011). pp. 1-23. ISSN 0264-9381

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    Abstract

    Conditions for thermodynamic stability of asymptotically anti-de Sitter 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 anti-de Sitter 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.

    Item Type: Article
    Additional Information: Postprint version of published article. The definitive version of this article is available at Thermodynamic stability of asymptotically anti-de Sitter rotating black holes in higher dimensions; Brian P Dolan 2014 Class. Quantum Grav. 31 165011 DOI: 10.1088/0264-9381/31/16/165011
    Keywords: black holes; higher dimensions; anti-de Sitter; rotation; thermodynamics;
    Academic Unit: Faculty of Science and Engineering > Mathematical Physics
    Item ID: 5819
    Identification Number: https://doi.org/10.1088/0264-9381/31/16/165011
    Depositing User: Dr. Brian Dolan
    Date Deposited: 11 Feb 2015 15:02
    Journal or Publication Title: Classical and Quantum Gravity
    Publisher: Institute of Physics
    Refereed: Yes
    URI:

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