论文标题

从rényi统计数据中,de Sitter空间中球形对称黑洞的热力学和相变

Thermodynamics and Phase Transition of Spherically Symmetric Black Hole in de Sitter Space from Rényi Statistics

论文作者

Tannukij, Lunchakorn, Wongjun, Pitayuth, Hirunsirisawat, Ekapong, Deesuwan, Tanapat, Promsiri, Chatchai

论文摘要

基于Rényi统计数据,研究了Schwarzschild黑洞的热力学。这导致了某些一定范围的黑洞半径的热力学稳定的黑洞构型;即,在此范围内,相应的黑洞具有正热容量。此外,对于一定的背景温度,最多可以在黑洞的三种配置下存在。其中之一是热力学稳定。这些配置是根据其自由能进行研究的,导致中等大小的稳定黑洞配置是最优选的配置。此外,如果给定的热时空要热进化到中等大小的稳定黑洞,则需要在rényi非扩展参数上的特定条件。

Schwarzschild black holes in a de Sitter background were studied in terms of their thermodynamics based on the Rényi statistics. This led to thermodynamically stable black hole configurations for some certain range of black hole radii; namely within this range the corresponding black holes have positive heat capacity. Moreover, for a certain background temperature there can exist at most three configurations of black hole; one among which is thermodynamically stable. These configurations were investigated in terms of their free energies, resulting in the moderate-sized stable black hole configuration being the most preferred configuration. Furthermore, a specific condition on the Rényi non-extensive parameter is required if a given hot spacetime were to evolve thermally into the moderate-sized stable black hole.

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