Consistent mass formulas for higher even-dimensional Reissner-Nordstr\"om-NUT-AdS spacetimes
Abstract
In our previous work [D. Wu and S.-Q. Wu, Phys. Rev. D 108, 064034 (2023)], we have formulated consistent thermodynamic first law and Bekenstein-Smarr mass formulae for all higher even-dimensional uncharged Taub-NUT (AdS) spacetimes through the inclusion of a secondary hair as did in the four-dimensional NUT-charged cases [S.-Q. Wu and D. Wu, Phys. Rev. D 100, 101501(R) (2019)]. In this article, we will show that the corresponding Reissner-Nordstr\"om(RN)-NUT (AdS) cases in all higher even-dimensions can be coherently treated just like the uncharged cases if another secondary hair is further introduced as did in the four-dimensional dyonic NUT-charged case [D. Wu and S.-Q. Wu, Phys. Rev. D 105, 124013 (2022)]. As a by-product of our consequence, it is also demonstrated that there is no need to introduce the secondary hair in the mass formulae for the four-dimensional purely electric-charged RN-NUT (AdS) spacetimes.
Keywords
Cite
@article{arxiv.2306.00062,
title = {Consistent mass formulas for higher even-dimensional Reissner-Nordstr\"om-NUT-AdS spacetimes},
author = {Shuang-Qing Wu and Di Wu},
journal= {arXiv preprint arXiv:2306.00062},
year = {2023}
}
Comments
20 pages, revtex4-1.cls, match with the published version in PRD; companion to 2209.01757