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

Understand

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.