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
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.