arXiv 2209.017572022-09hep-thgr-qc

高维偶数维Taub-NUT时空及其AdS对应时空的一致质量公式

Consistent mass formulas for higher even-dimensional Taub-NUT spacetimes and their AdS counterparts

Di Wu, Shuang-Qing Wu

备注：: revtex4-1.cls; 12 pages, match with the published version in PRD
发表信息：: Phys. Rev. D 108, 064034 (2023)
DOI：: 10.1103/PhysRevD.108.064034

阅读 PDF

arXiv 页面 ↗HTML 原文 ↗

AI总结：

本文首次将“NUT荷是热力学多重毛发”的思想推广到D=6,8,10维Taub-NUT时空及其AdS对应时空，通过引入次级毛发J_n=Mn作为守恒荷，验证了一致热力学定律与质量公式的成立。

摘要：

目前，人们对寻找洛伦兹Taub-NUT时空的一致热力学表现出极大兴趣。尽管已经做出了许多“令人满意”的努力，但所有这些工作都局限于四维情形，高维偶数维情形仍未得到探索。本文旨在首次填补这一空白。为此，我们首先采用我们自己的观点，即“NUT荷是一种热力学多重毛发”，来研究无宇宙学常数的D = 6, 8, 10维洛伦兹Taub-NUT时空的一致热力学。与我们先前工作中处理的D = 4情形类似，我们发现，如果仍然将次级毛发J_n = Mn作为两个质量公式中的守恒荷，则第一定律和Bekenstein-Smarr质量公式都能被完美满足。转向具有非零宇宙学常数的情形时，我们的处理方法仍然非常有效，并且所有结果都可以相当普遍地推广到高维偶数维中相应的Taub-NUT AdS时空，尽管我们尚不知道如何定义和引入一个类似于四维中众所周知的、更高维版本的对偶（磁）质量。基于前述结果，当次级毛发J_n被视为冗余热力学变量时，我们还将推导出质量公式的约化版本。

英文摘要：

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.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

AI总结：

摘要：

英文摘要：

相关论文