非奇异黑洞及其热力学相关问题研究

Nonsingular/regular black holes, which are black holes with event horizon and without singularity, have attracted wide attention. These nonsingular black holes which are derived from classical gravity indicate that quantum gravity is not necessary to deal with black hole singularity and deepen the understanding of classical gravity. In our earlier works, we point out the inconsistency between the thermodynamic quantities and thermodynamic law for some nonsingular black holes, and propose a tentative resolution. In this project, we want to study more different kinds of nonsingular black holes and calculate their thermodynamic quantities. Based on these results, we calculate the heat capacity, critical exponents, the P-V relation in extended phase space, et al. to study the phase transition and critical behaviors of nonsingular black holes. Moreover, we also study the horizon thermodynamics of nonsingular black holes to investigate the applicability of Padmanabhan’s method and the differences between the nonsingular black holes and the usual black holes.

非奇异黑洞是一种有视界无奇点的黑洞，是黑洞家族的重要组成部分，近年来逐渐引起人们的关注。在经典引力理论中得到非奇异黑洞解，不仅说明量子引力对于奇点问题并非必不可少，而且加深了人们对经典引力理论的认识。我们前期工作报道了几种非奇异黑洞热力学量与热力学定律之间的矛盾，并给出了尝试性的解决方案。本项目拟研究更多不同类型的非奇异黑洞，并进一步探讨非奇异黑洞热力学量的定义和计算。在此基础上，通过计算热容量、临界指数以及扩展相空间的P-V关系等，研究非奇异黑洞的相变和临界现象。此外，通过研究非奇异黑洞的视界热力学，考察Padmanabhan方案对非奇异黑洞的适用性及其与常规黑洞的区别。

非奇异黑洞是一种有视界无奇点的黑洞，是对常规黑洞的一种重要补充。本项目研究了非对易黑洞（一种非奇异黑洞）的热力学稳定性及其在Rastall 引力中的构建，并分析了该黑洞的热力学性质；构造了几种（2+1）维非奇异黑洞，并分析其热力学性质；考虑广义测不准关系修正后，研究了RN-AdS 黑洞的相变和临界现象。发现这样的RN-AdS黑洞的相结构更加丰富；研究了Horava-Lifshitz 引力中黑洞的相变，发现了一种极特殊的临界行为。发现当电荷不存在时，Horava-Lifshitz黑洞具有出无穷多的临界点。这些临界点构成一条临界曲线。这些工作从不同角度揭示了非奇异黑洞以及常规黑洞的相变和临界行为，能够帮助人们进一步理解黑洞的热力学性质。