论文标题
黑洞力学的第一定律
The First Law of Black Hole Mechanics
论文作者
论文摘要
黑洞力学的第一定律一直是研究黑洞热力学特性的主要动机。该法律的第一个版本在\ cite {bardeen：1973gs}中证明了这一法律是通过考虑渐近平坦的固定固定的黑洞时空的扰动。然后将该结果扩展到完全普遍的扰动，首先是在\ cite {sudarsky：1992ty}的爱因斯坦 - 马克斯韦理论的背景下，\ cite {wald：1993ki}，然后是一般的差异不变理论，具有与重力的一般性理论，具有任意的物质物质领域的数量。 \ cite {wald：1993nt}，\ cite {iyer：1994ys}。在这里，提出了对第一定律的这两种概括的综述，特别注意以明确而彻底的方式概述必要的形式和计算，在研究生层面上可以理解。简要讨论了一个动态黑洞的熵的开放问题，该熵满足了黑洞力学第二定律的形式。
The first law of black hole mechanics has been the main motivation for investigating thermodynamic properties of black holes. The first version of this law was proved in \cite{Bardeen:1973gs} by considering perturbations of an asymptotically flat, stationary black hole spacetime to other stationary black hole spacetimes. This result was then extended to fully general perturbations, first in the context of Einstein-Maxwell theory in \cite{Sudarsky:1992ty},\cite{Wald:1993ki}, and then in the context of a general diffeomorphism invariant theory of gravity with an arbitrary number of matter fields in \cite{Wald:1993nt},\cite{Iyer:1994ys}. Here a review of these two generalizations of the first law is presented, with particular attention to outlining the necessary formalisms and calculations in an explicit and thorough way, understandable at a graduate level. The open problem of defining the entropy for a dynamical black hole that satisfies a form of the second law of black hole mechanics is briefly discussed.
