Thermodynamical hairs of the four-dimensional Taub-Newman-Unti-Tamburino spacetimes
Thermodynamical hairs of the four-dimensional Taub-Newman-Unti-Tamburino spacetimes
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四维 Taub-Newman-Unti-Tamburino 时空的热力学毛发
DOI：
10.1103/physrevd.100.101501
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发表时间：
2019
影响因子：
5
通讯作者：
Wu Di
中科院分区：
文献类型：
--
作者：
Wu Shuang-Qing;Wu Di
我们证明了一般的四维Taub-Newman-Unti-Tamburino（Taub-NUT）时空可以用三种或四种不同的热力学毛来描述：Komar质量（$M = m$），“角动量”（$J_n = mn$），重力磁荷（$N = n$），和/或对偶（磁）质量（$\widetilde{M} = n$）.换句话说，NUT电荷是一个热力学多毛，这意味着它同时具有旋转和电磁电荷的特性;这与以前的知识形成鲜明对比，它只有一个物理特征，或者它纯粹是一个单一的解决方案参数。为了得到这个新的结果，我们提出了一种简单、系统的方法来研究包含非零NUT荷的所有四维时空的一致热力学第一定律和贝肯斯坦-斯马尔质量公式，首先推导出一个有意义的赫里斯托-鲁菲尼型平方质量公式。这样，不仅可以在一般的Taub-NUT型时空的洛伦兹扇区和欧几里得扇区中自然地恢复Bekenstein-Hawking四分之一面积熵关系，而且可以在热力学意义上首次完全阐明NUT参数作为多面体的物理意义.
It is demonstrated that the generic four-dimensional Taub-Newman-Unti-Tamburino (Taub-NUT) spacetimes can be perfectly described in terms of three or four different kinds of thermodynamic hairs: the Komar mass ($M = m$), the "angular momentum" ($J_n = mn$), the gravitomagnetic charge ($N = n$), and/or the dual (magnetic) mass ($\widetilde{M} = n$). In other words, the NUT charge is a thermodynamic multihair which means that it simultaneously has both rotation-like and electromagnetic charge-like characteristics; this is in sharp contrast with the previous knowledge that it has only one physical feature, or that it is purely a single solution parameter. To arrive at this novel result, we put forward a simple, systematic way to investigate the consistent thermodynamic first law and Bekenstein-Smarr mass formulas of all four-dimensional spacetimes that contain a nonzero NUT charge, facilitated by first deriving a meaningful Christodoulou-Ruffini-type squared-mass formula. In this way, not only can the elegant Bekenstein-Hawking one-quarter area-entropy relation be naturally restored in the Lorentzian and Euclidian sectors of generic Taub-NUT-type spacetimes without imposing any constraint condition, but also the physical meaning of the NUT parameter as a poly-facet can be completely clarified in the thermodynamic sense for the first time.