The first law of black hole mechanics in the Einstein-Maxwell theory revisited

被引:37
作者
Elgood, Zachary [1 ]
Meessen, Patrick [2 ,3 ]
Ortin, Tomas [1 ]
机构
[1] Inst Fis Teor UAM CSIC, C Nicolas Cabrera 13-15, E-28049 Madrid, Spain
[2] Univ Oviedo, Dept Fis, HEP Theory Grp, Avda Calvo Sotelo S-N, E-33007 Oviedo, Spain
[3] Inst Univ Ciencias & Tecnol Espaciales Asturias I, Calle Independencia 13, E-33004 Oviedo, Spain
关键词
Black Holes; Classical Theories of Gravity; SPACETIME SYMMETRIES; LIE; FIELD; TRANSFORMATIONS; GRAVITATION;
D O I
10.1007/JHEP09(2020)026
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
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-Nordstrom-Tangherlini black hole.
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页数:20
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