Black hole evaporation rates without spacetime.
Black hole evaporation rates without spacetime.
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DOI：
10.1103/physrevlett.107.071302
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发表时间：
2011-02
影响因子：
8.6
通讯作者：
S. Braunstein;M. Patra
中科院分区：
文献类型：
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作者：
S. Braunstein;M. Patra
弗林德最近提出，重力、惯性，甚至时空可能是一个基本热力学理论的紧急性质。这一观点的部分原因是雅各布森1995年令人惊讶的结果，即爱因斯坦引力方程是根据事件视界的热力学性质得出的。在这样的程序中，我们迈出了试探性的第一步，我们以时空自由的方式从黑洞事件视界导出了蒸发率(或辐射谱)。我们的结果依赖于黑洞蒸发的希尔伯特空间描述，其中的对称性源于黑洞固有的高维，无毛量的整体守恒，以及彭罗斯过程的存在。我们的分析不拘泥于标准的广义相对论，因此应该适用于扩展引力理论，在这些理论中，我们发现在任何广义面积定理中，黑洞面积都必须被某些其他性质取代。
Verlinde recently suggested that gravity, inertia, and even spacetime may be emergent properties of an underlying thermodynamic theory. This vision was motivated in part by Jacobson's 1995 surprise result that the Einstein equations of gravity follow from the thermodynamic properties of event horizons. Taking a first tentative step in such a program, we derive the evaporation rate (or radiation spectrum) from black hole event horizons in a spacetime-free manner. Our result relies on a Hilbert space description of black hole evaporation, symmetries therein which follow from the inherent high dimensionality of black holes, global conservation of the no-hair quantities, and the existence of Penrose processes. Our analysis is not wedded to standard general relativity and so should apply to extended gravity theories where we find that the black hole area must be replaced by some other property in any generalized area theorem.