熵界与场方程
Entropy bounds and field equations
摘要：
对于一般的引力度量理论，我们比较的方法，描述-推导出的引力场方程作为一个热力学身份的一个看起来他们从熵界。比较是通过考虑跨（林德勒）视野的物质熵通量，研究利用的概念，限制热力学尺度$l^*$的物质，以前介绍的熵界。在这样做时：i）考虑了具有给定能量-动量张量$T_{ab}$的任何物质块的熵的界，该界是与我们使用的引力理论无关的量;该量是当物质元穿过适当视界时该视界的克劳修斯熵的变化; ii）利用理论的运动方程，同样的量被表示为该视界的瓦尔德熵的变化（这导致了广义协变熵界的广义形式，适用于一般的引力同形不变理论）; iii）视界的$l^*$的概念，并给出了它的表达式。
英文摘要：
For general metric theories of gravity, we compare the approach that describes-derives the field equations of gravity as a thermodynamic identity with the one which looks at them from entropy bounds. The comparison is made through the consideration of the matter entropy flux across (Rindler) horizons, studied by making use of the notion of a limiting thermodynamic scale $l^*$ of matter, previously introduced in the context of entropy bounds. In doing this: i) a bound for the entropy of any lump of matter with a given energy-momentum tensor $T_{ab}$ is considered, in terms of a quantity which is independent of the theory of gravity we use; this quantity is the variation of the Clausius entropy of a suitable horizon when the element of matter crosses it; ii) by making use of the equations of motion of the theory, the same quantity is then expressed as the variation of Wald's entropy of that horizon (and this leads to a generalized form of the generalized covariant entropy bound, applicable to general diffeomorphism-invariant theories of gravity); iii) a notion of $l^*$ for horizons, and an expression for it, is given.
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