A local first law for black hole thermodynamics
A local first law for black hole thermodynamics
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DOI：
10.1103/physrevd.87.121503
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发表时间：
2011-10
影响因子：
5
通讯作者：
Ernesto Frodden;Amit Ghosh;Alejandro Perez
中科院分区：
文献类型：
--
作者：
Ernesto Frodden;Amit Ghosh;Alejandro Perez
我们首先证明了稳态黑洞满足第一定律的一个非常简单的局部形式\delta E=\kappa（l）\delta A/（8 \pi），其中的能量E=A/（8\pi l）和（局部）表面引力\kappa（l）=1/l，其中A是视界面积，l是适当的长度，表征适合于数学考虑的优选局部观测器族到视界的距离。我们的构造被扩展到孤立视界的更一般的框架。局部地表重力是普遍存在的。这对黑洞物理学的半经典考虑以及在圈量子引力的背景下产生的基本量子描述具有重要意义。
We first show that stationary black holes satisfy an extremely simple local form of the first law \delta E=\kappa(l) \delta A/(8 \pi) where the thermodynamical energy E=A/(8\pi l) and (local) surface gravity \kappa(l)=1/l, where A is the horizon area and l is a proper length characterizing the distance to the horizon of a preferred family of local observers suitable for thermodynamical considerations. Our construction is extended to the more general framework of isolated horizons. The local surface gravity is universal. This has important implications for semiclassical considerations of black hole physics as well as for the fundamental quantum description arising in the context of loop quantum gravity.