New forms and thermodynamics of the neutral rotating squashed black hole in five-dimensional vacuum Einstein gravity theory
New forms and thermodynamics of the neutral rotating squashed black hole in five-dimensional vacuum Einstein gravity theory
复制标题
五维真空中中性旋转压扁黑洞的新形式和热力学爱因斯坦引力理论
DOI：
10.1007/s10714-016-2149-8
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
Shu-Zheng Yang
中科院分区：
文献类型：
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作者：
Xiao-Dan Zhu;Di Wu;Shuang-Qing Wu;Shu-Zheng Yang
通过直接求解运动方程，我们提出了寻找五维旋转挤压黑洞新的简单形式的方案。在最近的一篇论文中，利用沿着第五维空间降维的度规分析，通过求解真空Einstein场方程，得到了具有压缩视界的五维旋转不带电黑洞解的一种新的但相当简单的形式.在这项工作中，我们继续寻求另一种新的，但相对简单的形式的中性旋转挤压黑洞的解决方案，通过使用不同的度规animals的时间一样的维减少。然后，我们找到它的关系，我们以前的解决方案，并研究其热力学的手段，counterterterterm方法。与另一作者的结果相比，我们的新度规形式及其热力学表达式都非常简洁和优美。本文提出的中性旋转压缩黑洞解的两种新形式都可以作为种子，在极小超引力下产生带电推广。
We initiated the program to look for new and simple forms for the five-dimensional rotating squashed black holes by solving directly the equation of motion. In a recent paper, the metric ansatz of dimensional reduction along the fifth spatial dimension was used to obtain a new but rather simple form for the five-dimensional rotating uncharged black hole solution with squashed horizons via solving the vacuum Einstein field equations. In this work, we continue to seek for another new but relatively simple form for the neutral rotating squashed black hole solution by using a different metric ansatz of time-like dimensional reduction. We then find its relation to our previous solution and investigate its thermodynamics by means of the counterterm method. Compared with the previous results given by the other author, both of our new metric forms and their associated thermodynamic expressions are very concise and elegant. Both of two new forms for the neutral rotating squashed black hole solution presented in this paper can be used as the seed to generate its charged generalization inminimal supergravity.