论文标题
一致的质量公式，用于较高的均匀taub-nut空间及其广告
Consistent mass formulas for higher even-dimensional Taub-NUT spacetimes and their AdS counterparts
论文作者
论文摘要
目前，人们对寻求Lorentzian Taub-nut SpaceTime的一致热力学有很大的兴趣。尽管已经做出了很多``令人满意''的努力，但所有这些活动都仅限于四维案件，而较高的均值案件仍未开发。本文的目的是首次填补空白。到了这个主题的结尾，我们首先采用自己的想法，即``营养费是热力学的多头发''，以调查$ d = 6、8、10 $ d = 6、8、10 $ lorentzian taub-nut空间的一致性动力学，而没有宇宙学的恒定时间。与以前的工作相似。头发：$ j_n = mn $作为两个质量公式的保守费用之前的结果，当二次头发$ j_n $被视为冗余热力学变量时，我们还将得出质量公式的简化版本。
Currently, there is a great deal of interest in the seeking of consistent thermodynamics of the Lorentzian Taub-NUT spacetimes. Despite a lot of ``satisfactory'' efforts have been made, all of these activities have been restricted to the four-dimensional cases, with the higher even-dimensional cases remaining unexplored. The aim of this article is to fill the gap, for the first time. To the end of this subject, we first adopt our own idea that ``The NUT charge is a thermodynamical multi-hair" to investigate the consistent thermodynamics of $D = 6, 8, 10$ Lorentzian Taub-NUT spacetimes without a cosmological constant. Similarly to the $D = 4$ cases as did in our previous works, we find that the first law and Bekenstein-Smarr mass formulas are perfectly satisfied if we still assign the secondary hair: $J_n = Mn$ as a conserved charge in both mass formulae. Turning to the cases with a nonzero cosmological constant, our treatment continues to work very well and all the results can be fairly generalized to the corresponding Taub-NUT AdS spacetimes in higher even-dimensions, although we do not know how to define and introduce a similar higher-dimensional version of the dual (magnetic) mass that is well known in four dimensions. Based upon the preceding results, we will also derive the reduced version of the mass formulae when the secondary hair $J_n$ is viewed as a redundant thermodynamic variable.
