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    Compressibility of rotating black holes

    Dolan, Brian P. (2011) Compressibility of rotating black holes. Physical Review D, 84 (127503). ISSN 1550-7998

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    Interpreting the cosmological constant as a pressure, whose thermodynamically conjugate variable is a volume, modifies the first law of black hole thermodynamics. Properties of the resulting thermodynamic volume are investigated: the compressibility and the speed of sound of the black hole are derived in the case of nonpositive cosmological constant. The adiabatic compressibility vanishes for a nonrotating black hole and is maximal in the extremal case—comparable with, but still less than, that of a cold neutron star. A speed of sound vs is associated with the adiabatic compressibility, which is equal to c for a nonrotating black hole and decreases as the angular momentum is increased. An extremal black hole has v2s=0.9  c2 when the cosmological constant vanishes, and more generally vs is bounded below by c/√2.

    Item Type: Article
    Keywords: black hole thermodynamics; compressibility;
    Academic Unit: Faculty of Science and Engineering > Mathematical Physics
    Item ID: 3031
    Identification Number:
    Depositing User: Dr. Brian Dolan
    Date Deposited: 27 Jan 2012 10:10
    Journal or Publication Title: Physical Review D
    Publisher: American Physical Society
    Refereed: Yes
    Use Licence: This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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