论文标题
爱因斯坦 - 马克斯韦理论中黑洞力学的第一定律重新审视
The first law of black hole mechanics in the Einstein-Maxwell theory revisited
论文作者
论文摘要
在爱因斯坦 - 马克斯威尔理论的背景下，我们以一种量规不变的方式重新介绍了黑洞力学的第一定律，引入了与田间强度相关的“动量图”以及产生对称性的矢量的“动量图”。这些物体在第一定律中起着广义热力学潜力的作用，并满足了广义的零法律，正如Prabhu首先观察到的，但可以将其推广到更复杂的情况。我们测试了关于$ d $二维的Reissner-Nordström-Tangherlini黑洞的想法。
We re-derive the first law of black hole mechanics in the context of the Einstein-Maxwell theory in a gauge-invariant way introducing "momentum maps" associated to field strengths and the vectors that generate their symmetries. These objects play the role of generalized thermodynamical potentials in the first law and satisfy generalized zeroth laws, as first observed in the context of principal gauge bundles by Prabhu, but they can be generalized to more complex situations. We test our ideas on the $d$-dimensional Reissner-Nordström-Tangherlini black hole.
