标题： 基于广义不确定原理的黑洞热力学 显示英文标题

标题： Thermodynamics of a black hole based on a generalized uncertainty principle

摘要： 我们使用Gibbons和Hawking基于广义不确定关系的欧几里得作用量形式研究腔体内黑洞的热力学量和稳定性，该不确定关系以对称方式扩展了空间和动量，而不会失去一般性。 不确定关系中的两个参数会影响能量、熵和热容量等热力学量。 特别是可以证明小黑洞是不稳定的，它可能会衰变为一个最小黑洞或一个大黑洞。 我们讨论与临界质量相关的大小可与腔体相比的大黑洞的约束。 显示英文摘要

摘要： We study thermodynamic quantities and the stability of a black hole in a cavity using the Euclidean action formalism by Gibbons and Hawking based on the generalized uncertainty relation which is extended in a symmetric way with respect to the space and momentum without loss of generality. Two parameters in the uncertainty relation affect the thermodynamical quantities such as energy, entropy, and the heat capacity. In particular, it can be shown that the small black hole is unstable and it may decay either into a minimal black hole or a large black hole. We discuss a constraint for a large black hole comparable to the size of the cavity in connection with the critical mass.