FLRW时空中任意球面的热力学
Thermodynamics of arbitrary spherical surfaces in FLRW spacetimes
- Yunnan University（云南大学）
机构由 AI 辅助整理，请以论文原文为准。
中文总结 AI 辅助
本文证明在广义相对论中，任意球面对称表面的热力学可直接由引力场方程导出，统一了表观视界与事件视界的热力学，并指出先前矛盾源于温度设定不当，表明引力-热力学对应是普遍特性。
中文摘要 AI 辅助
本文在广义相对论框架下，研究了非平坦FLRW时空中任意球对称表面的热力学。采用引力到热力学的视角，Clausius关系和统一第一定律直接从引力场方程和物质动力学导出，其中由能量-动量守恒推导的物质通量度量起着核心作用。宇宙学表观视界和事件视界的热力学均作为特例被恢复。特别是，从引力动力学推导的事件视界温度满足两个热力学关系，而无需引入现象学修正，并且在德西特极限下，相应温度简化为Gibbons-Hawking温度。我们进一步表明，先前的不一致源于不相容的温度设定，而非宇宙学事件视界热力学本身的固有缺陷。这些结果表明，引力-热力学对应是引力动力学的一个普遍特征，而非因果视界所独有的性质。
英文摘要
In this work, we investigate the thermodynamics of arbitrary spherically symmetric surfaces in non-flat FLRW spacetimes within general relativity. Adopting the gravity-to-thermodynamics perspective, the Clausius relation and the unified first law follow directly from the gravitational field equations and matter dynamics, with a central role played by the matter-flux measure derived from energy-momentum conservation. The cosmological apparent-horizon and event-horizon thermodynamics are both recovered as special cases. In particular, the event-horizon temperatures derived from the gravitational dynamics satisfy both thermodynamic relations without introducing phenomenological modifications, and the corresponding temperature reduces to the Gibbons-Hawking temperature in the de Sitter limit. We further show that previous inconsistencies originate from incompatible temperature prescriptions rather than from any intrinsic deficiency in the thermodynamics of the cosmological event horizon. These results demonstrate that the gravity-thermodynamics correspondence is a generic feature of gravitational dynamics rather than a property unique to causal horizons.
