The Extended Thermodynamic Properties of Taub-NUT/Bolt-AdS spaces
Chong Oh Lee
TL;DR
This paper explores the thermodynamic properties and phase transitions of higher-dimensional Taub-NUT/Bolt-AdS spaces, revealing stable ranges and phase behaviors when considering a cosmological constant as pressure.
Contribution
It provides a general formula for thermodynamic volumes in arbitrary dimensions and analyzes stability and phase transitions in these complex spacetimes.
Findings
Thermodynamic volume formulas for arbitrary dimensions.
Stable thermodynamic range when dimensions are multiples of 4.
First order phase transition persists in higher dimensions.
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.
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