THERMODYNAMICS OF SPACETIME - THE EINSTEIN EQUATION OF STATE
THERMODYNAMICS OF SPACETIME - THE EINSTEIN EQUATION OF STATE
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DOI：
10.1103/physrevlett.75.1260
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发表时间：
1995-08-14
影响因子：
8.6
通讯作者：
JACOBSON, T
中科院分区：
文献类型：
--
作者：
JACOBSON, T
爱因斯坦方程是由熵和视界面积的比例关系以及基本关系Δ Q = T dS导出的。其关键思想是要求这种关系对于通过每个时空点的所有局域林德勒因果视界都成立，而Δ Q和T被解释为视界内加速观测者所看到的能通量和昂鲁温度。这需要物质能量的引力透镜扭曲时空的因果结构，这样爱因斯坦方程才成立。从这个角度看，爱因斯坦方程是一个状态方程。
The Einstein equation is derived from the proportionality of entropy and the horizon area together with the fundamental relation delta Q = T dS. The key idea is to demand that this relation hold for all the local Rindler causal horizons through each spacetime point, with delta Q and T interpreted as the energy flux and Unruh temperature seen by an accelerated observer just inside the horizon. This requires that gravitational lensing by matter energy distorts the causal structure of spacetime so that the Einstein equation holds. Viewed in this way, the Einstein equation is an equation of state.