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arXiv:1712.09399·v5·General Relativity and Quantum Cosmology

Smarr Integral Formula of D-dimensional Stationary Spacetimes in Einstein-Æther-Maxwell Theroy

Fei-hung Ho🇨🇳 · Shao-Jun Zhang🇨🇳 · Hai-Shan Liu🇨🇳 · Anzhong Wang🇨🇳

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Abstract

Using the Wald formalism, we investigate the thermodynamics of charged black holes in D-dimensional stationary spacetimes with or without rotations in Einstein-æther-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.

Comments: No figures and tables. Phys. Let. B782 (2018) 723-727

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