The Extended Thermodynamic Properties of Taub-NUT/Bolt-AdS spaces

Abstract

We investigate the extended thermodynamic properties of higher-dimensional Taub-NUT/Bolt-AdS spaces where a cosmological constant is treated as a pressure. We find a general form for thermodynamic volumes of Taub-NUT/Bolt-AdS black holes for arbitrary dimensions. Interestingly, it is found that the Taub-NUT-AdS metric has a thermodynamically stable range when the total number of dimensions is a multiple of 4 (4, 8, 12, ...). We also explore their phase structure and find the first order phase transition holds for higher-dimensional cases.

18 pages, 5 figures, typos corrected, references added, version to appear in PLB

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Cited by in corpus (9)

• Phase transition and Thermodynamical geometry of Reissner-Nordström-AdS Black Holes in Extended Phase Space
• Phase transition and thermodynamical geometry for Schwarzschild AdS black hole in $Ad{S}_5\times S^5$ spacetime
• Black holes and Boyle's law -- the thermodynamics of the cosmological constant
• Combined effects of f(R) gravity and conformally invariant Maxwell field on the extended phase space thermodynamics of higher-dimensional black holes
• Critical behavior of Born-Infeld dilaton black holes
• Reentrant phase transitions and triple points of topological AdS black holes in Born-Infeld-massive gravity
• Consistent mass formulas for higher even-dimensional Reissner-Nordström-NUT-AdS spacetimes
• Higher-Curvature Gravity, Black Holes and Holography
• Dyonic Taub-NUT-AdS Spaces: Phase Structures of all Horizon Geometries