An Operational approach to black hole entropy
An Operational approach to black hole entropy
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黑洞熵的操作方法
DOI：
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
W. Israel
中科院分区：
文献类型：
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作者：
F. Pretorius;D. Vollick;W. Israel
在本文中，我们计算了从无穷大可逆收缩到事件视界的薄球壳的熵。我们发现，对于一大类状态方程，非极值壳的熵是其黑洞极限面积的四分之一。本文中的考虑因素提出了黑洞熵的以下操作定义：$S_{BH}$ 是储存在聚集形成黑洞的材料中的平衡热力学熵，如果所有这些材料都被压缩成靠近其引力半径的薄层。由于给定质量和面积的熵在热平衡中最大化，我们预计这是材料在穿过地平线之前可以存储在材料中的最大熵。在极值黑洞的情况下，壳模型不会为熵分配明确的值。
In this paper we calculate the entropy of a thin spherical shell that contracts reversibly from infinity down to its event horizon. We find that, for a broad class of equations of state, the entropy of a non-extremal shell is one-quarter of its area in the black hole limit. The considerations in this paper suggest the following operational definition for the entropy of a black hole: $S_{BH}$ is the equilibrium thermodynamic entropy that would be stored in the material which gathers to form the black hole, if all of this material were compressed into a thin layer near its gravitational radius. Since the entropy for a given mass and area is maximized for thermal equilibrium we expect that this is the maximum entropy that could be stored in the material before it crosses the horizon. In the case of an extremal black hole the shell model does not assign an unambiguous value to the entropy.