Consistent mass formulas for higher even-dimensional Reissner-Nordström-NUT-AdS spacetimes
【Abstract】 In our previous work [D. Wu and S.-Q. Wu, Phys. Rev. D (to be published).], we have formulated consistent thermodynamic first law and Bekenstein-Smarr mass formulas for all higher even-dimensional uncharged Taub-Newman-Unti-Tamburino (Taub-NUT) anti–de Sitter (AdS) spacetimes through the inclusion of a secondary hair Jn=Mn 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-Nordström (RN)-NUT (AdS) cases in all higher even dimensions can be coherently treated just like the uncharged cases if another secondary hair Qn∝qn is further introduced as we 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 Qn in the mass formulas for the four-dimensional purely electric-charged RN-NUT (AdS) spacetimes.
【Author】 Shuang-Qing Wu (吴双清, Di Wu (吴迪
【Journal】 Physical Review D(IF：4.4) Time：2023-09-20