Thermodynamic volumes for AdS-Taub-NUT and AdS-Taub-Bolt

In theories of semi-classical quantum gravity where the cosmological constant is considered a thermodynamic variable, the gravitational mass of a black hole has been shown to correspond to the enthalpy of the thermodynamic system, rather than the energy. We propose that this should be extended to al...

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Bibliographic Details
Published inClassical and quantum gravity Vol. 31; no. 23; pp. 235003 - 12
Main Author Johnson, Clifford V
Format Journal Article
LanguageEnglish
Published IOP Publishing 07.12.2014
Subjects
black holes
Black holes (astronomy)
Cosmological constant
Entropy
Gravitation
Gravitation theory
Quantum gravity
Slicing
Thermodynamics
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Summary:In theories of semi-classical quantum gravity where the cosmological constant is considered a thermodynamic variable, the gravitational mass of a black hole has been shown to correspond to the enthalpy of the thermodynamic system, rather than the energy. We propose that this should be extended to all spacetime solutions, and consider the meaning of this extension of gravitational thermodynamics for the Taub-NUT and Taub-Bolt geometries in four dimensional locally anti-de Sitter spacetime. We present formulae for their thermodynamic volumes. Surprisingly, Taub-NUT has negative volume, for which there is a natural dynamical explanation in terms of the process of formation of the spacetime. A special case corresponds to pure AdS4 with an S3 slicing. The same dynamical setting can explain the negative entropy known to exist for these solutions for a range of parameters.
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content type line 23
ISSN:0264-9381
1361-6382
DOI:10.1088/0264-9381/31/23/235003