Compressibility of rotating black holes

By Brian P. Dolan. 2011

209 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/2f741a8495290a717b85fb0a91f02cf48ece58e4

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Citations in the corpus

Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization (2012, unknown): “13) becomes [8] P = T v − 1 2πv2 + 48J2 πv6 .”
Multiple reentrant phase transitions and triple points in Lovelock thermodynamics (2014, background): “Finally, comparing the physics of black holes with real world thermodynamic systems becomes a much more reasonable possibility [37], insofar as tricriticality, reentrant phase transitions, and Van der Waals behaviour all have counterparts in laboratory physics [4, 5, 6, 7, 13, 20, 21]; an extensive ”
Extended phase space thermodynamics for third-order Lovelock black holes in diverse dimensions (2014, background): “Recently, the idea of including the cosmological constant in the first law of black hole has become popular [5–8].”
Black hole chemistry: thermodynamics with Lambda (2016, background): “One of them, the black hole adiabatic compressibility [116] has attracted attention in connection with black hole stability [26, 117, 118] (see also [119, 120]).”
Thermodynamic Volumes and Isoperimetric Inequalities for de Sitter Black Holes (2013, methodology): “[6] B.”
Thermodynamics of Rotating Black Holes and Black Rings: Phase Transitions and Thermodynamic Volume (2014, background): “This has led to a number of investigations of black hole thermodynamics in this extended phase space [5–39].”
Holographic heat engines (2014, unknown): “[5–13], including the reviews in refs.”