Abstract

We apply the generalised Komar method proposed in [arXiv:2208.05494] to Taub-NUT-AdS spacetime in the theory of Einstein gravity plus a cosmological constant. Based on a generalised closed 2-form, we derive the total mass and NUT charge of the Taub-NUT-AdS spacetime. Together with other thermodynamic quantities calculated through standard method, we conform the first law and Smarr relation. Then, we consider charged AdS NUT spacetimes in Einstein–Maxwell theory with a cosmological constant, and show that the generalised Komar method works, too. We obtain all the thermodynamic quantities, and the first law and Smarr relation are checked to be satisfied automatically.

Details

Title
Thermodynamics of Taub-NUT-AdS spacetimes
Author
Liu, Jun-Fei 1 ; Liu, Hai-Shan 1 

 Tianjin University, Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin, China (GRID:grid.33763.32) (ISNI:0000 0004 1761 2484) 
Pages
515
Publication year
2024
Publication date
May 2024
Publisher
Springer Nature B.V.
ISSN
14346044
e-ISSN
14346052
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
3056527674
Copyright
© The Author(s) 2024. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.