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Smarr Integral Formula of D-dimensional Stationary Spacetimes in Einstein-\AE ther-Maxwell Theroy

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arxiv 1712.09399 v5 pith:JL3AM6XU submitted 2017-12-26 gr-qc astro-ph.GAhep-phhep-th

classification gr-qcastro-ph.GAhep-phhep-th
keywords spacetimesd-dimensionaleinstein-formulaintegralsmarrstationaryther-maxwell
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Using the Wald formalism, we investigate the thermodynamics of charged black holes in D-dimensional stationary spacetimes with or without rotations in Einstein-\ae ther-Maxwell theory. In particular, assuming the existence of a scaling symmetry of the action, we obtain the Smarr integral formula, which can be applied to both Killing and universal horizons. When restricted to 4-dimensional spherically symmetric spacetimes, previous results obtained by a different method are re-derived.

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