论文标题

以不同的度量形式重新访问四维reissner-nordström-nut-ads解决方案的质量公式

Revisiting mass formulas of the four-dimensional Reissner-Nordström-NUT-AdS solutions in a different metric form

论文作者

Wu, Di, Wu, Shuang-Qing

论文摘要

最近,Lorentzian Reissner-Nordström(RN)-Nut-Ads $ _4 $ spaceTimes的所谓``一致的热力学''是通过大量努力通过不同的方式追求的。 Among these attempts, we had proposed a novel idea that ``The NUT charge is a thermodynamical multihair" to successfully tackle with the subject. In this paper, we will adopt this strategy to reconsider the mass formulas of the RN-NUT-AdS$_4$ solutions but written in an alternative form, which had not been studied before in any existing literature and might be a most appropriate ansatz for the higher dimensional multiply NUTty-charged AdS没有任何约束条件,我们将讨论ChristoDoulou-Ruffini般的平方质量公式和第一个定律以及Bekenstein-Smarr Mass Formula,通过将次级头发$ j_n = mn $介绍为普通的$ w $ n nouthers $ w $。在我们以前的工作中交付。

Recently, the so-called ``consistent thermodynamics'' of the Lorentzian Reissner-Nordström (RN)-NUT-AdS$_4$ spacetimes has been pursued by a lot of efforts via different means. Among these attempts, we had proposed a novel idea that ``The NUT charge is a thermodynamical multihair" to successfully tackle with the subject. In this paper, we will adopt this strategy to reconsider the mass formulas of the RN-NUT-AdS$_4$ solutions but written in an alternative form, which had not been studied before in any existing literature and might be a most appropriate ansatz for the higher dimensional multiply NUTty-charged AdS spacetimes without any constraint condition. Here, we shall discuss the Christodoulou-Ruffini-like squared mass formula and the first law as well as the Bekenstein-Smarr mass formula by introducing the secondary hair $J_n = Mn$. For the sake of generality, we have introduced a dimensionless constant $w$ into the constant factor $Ξ$ in the solution expression so that when $w = 1$, all obtained results can reproduce those delivered in our previous work.

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