Thermodynamic Volume of Kerr-bolt-AdS Spacetime

Abstract

In theories of gravity where the cosmological constant defines a thermodynamic variable, the pressure, it has been shown that solutions of Einstein's equations have a corresponding thermodynamic volume. In general, the expression for the volume is not the same as the one arising from naive geometrical considerations. Both rotation and nut charge are properties known in the literature to give non-geometric thermodynamic volumes, and so we combine the two in a single example and compute the volume for the Kerr-bolt-AdS spacetime, presenting a new expression that generalizes the previously known non-geometric cases.

arXiv comment11 pages, 4 figures; v2: some references added

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Cited by in corpus (7)

• Black hole chemistry: thermodynamics with Lambda
• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• Black holes and Boyle's law -- the thermodynamics of the cosmological constant
• The Extended Thermodynamic Properties of Taub-NUT/Bolt-AdS spaces
• The correspondence between thermodynamic curvature and isoperimetric theorem from ultraspinning black hole
• The Extended Thermodynamic Properties of a topological Taub-NUT/Bolt-AdS spaces
• The Thermodynamic Properties of Warped Taub-NUT AdS Black String