Abstract

Black hole thermodynamics is the area of study that seeks to reconcile the laws of thermodynamics with the existence of black hole event horizons. Here we calculate the entropy corresponding to the interior of a Schwarzschild black hole for massless modes, assuming the mass of the black hole increasing with time. We find that the entropy is proportional to the Bekenstein–Hawking expression. Also, we can see that the evaluated entropy satisfies the second law of thermodynamics. Using the thermodynamic law we get a relation between temperature and inverse temperature. The special relativistic corrections to thermodynamic quantities are considered. The change in thermodynamic properties are analyzed when the velocity of the considered system is comparable to the speed of light. The effect of presence of scalar charge is incorporated.

中文翻译：

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假设质量随时间增加，Schwarzschild黑洞内部的熵

摘要

黑洞热力学是研究领域，旨在调和热力学定律与黑洞事件视界的存在。在此，假设黑洞的质量随时间增加，我们针对无质量模式计算与Schwarzschild黑洞内部相对应的熵。我们发现熵与Bekenstein-Hawking表达式成正比。此外，我们可以看到，所评估的熵满足热力学第二定律。利用热力学定律，我们得到温度和逆温度之间的关系。考虑对热力学量的相对论修正。当所考虑的系统速度与光速相当时，分析热力学性质的变化。合并了标量电荷的存在的影响。