Einstein-Maxwell理论中的黑洞力学第一定律
The first law of black hole mechanics in the Einstein-Maxwell theory revisited
摘要：
我们重新推导的黑洞力学第一定律的背景下，爱因斯坦-麦克斯韦理论在规范不变的方式引入“动量映射”相关联的场强和矢量，产生它们的对称性。这些物体在第一定律中扮演广义的量子势的角色，并满足广义的第零定律，正如Prabhu在主规范束的背景下首次观察到的那样，但它们可以推广到更复杂的情况。我们在$d$维Reissner-Nordström-Tangherlini黑洞上测试我们的想法。
英文摘要：
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.
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