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

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.

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

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• Thermodynamical study on universal horizons in higher $D$-dimensional spacetime and aether waves
• Gravitational plane waves in Einstein-aether theory
• Entropies and The First Laws of Black Hole Thermodynamics in Einstein-aether-Maxwell Theory