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Compressibility of rotating black holes

Dolan, Brian P. (2011) Compressibility of rotating black holes. Physical Review D, 84 (12). ISSN 1550-7998

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Abstract

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 non-positive cosmological constant. The adiabatic compressibility vanishes for a non-rotating 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 is equal to c for a non-rotating black hole and decreases as the angular momentum is increased. An extremal black hole has v2 s = 0.9 c2 when the cosmological constant vanishes, and more generally vs is bounded below by c/√2.

Item Type: Article
Keywords: black holes;
Subjects: Science & Engineering > Mathematical Physics
Item ID: 3031
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
URI:

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