Thermodynamics of Taub-NUT-AdS Spactimes
High Energy Physics - Theory
2023-09-06 v1 General Relativity and Quantum Cosmology
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 NUTy 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.
Keywords
Cite
@article{arxiv.2309.01609,
title = {Thermodynamics of Taub-NUT-AdS Spactimes},
author = {Jun-Fei Liu and Hai-Shan Liu},
journal= {arXiv preprint arXiv:2309.01609},
year = {2023}
}
Comments
14 pages, no figure