广义相对论中的热平衡与宇宙学常数的特殊性质
Thermal equilibrium in general relativity and the special nature of the cosmological constant
- Universidade Federal da Paraíba（帕拉伊巴联邦大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文探讨广义相对论中的热平衡，强调宇宙学常数相关流体的独特性，其能量为普适量，并计算了黑洞的准局域能量。
AI中文摘要：
本文讨论了广义相对论中的热平衡问题，并强调了与宇宙学常数相关的流体所扮演的独特角色。除了是唯一始终处于热平衡状态的流体之外，本文还表明其能量也可以被视为一个普适量，由$E_\Lambda=\rho_\Lambda V$给出，其中$V$是空间体积。此外，如果宇宙学常数被证明是一个普适常数，那么任何空间体积$V$都具有固有能量的结论就自然地从本文所采用的方法中得出。本文还讨论了这一方法对假设存在最小长度尺度的量子引力理论的可能应用。在研究能量时，本文使用了所谓的广义相对论的teleparallel等价形式，并基于引力能量问题讨论了零点能量的困难。本文计算了Reissner-Nordström-de Sitter黑洞和一个规则黑洞的准局域能量。本文利用teleparallel理论获得的结果与我们的预期一致。
英文摘要：
The problem of thermal equilibrium in general relativity is discussed and the unique role played by the fluid associated with the cosmological constant is emphasized. In addition to being the only fluid that is always in thermal equilibrium, it is shown here that its energy can also be seen as a universal quantity given by $E_Λ=ρ_ΛV$, where $V$ is a spatial volume. Furthermore, if the cosmological constant turns out to be a universal constant, then the conclusion that any spatial volume $V$ has an intrinsic energy follows naturally from the approach considered here. A possible application to quantum theories of gravity that postulate the existence of a minimal length scale is discussed. In studying the energies, the so-called teleparallel equivalent of general relativity is used, and the difficulty with the zero-point energy is discussed in light of the gravitational energy problem. The quasi-local energies of the Reissner-Nordström-de Sitter black hole and of a regular black hole are calculated. The results obtained here with the teleparallel theory are consistent with our expectations.
