Smarr Integral Formula of D-dimensional Stationary Spacetimes in Einstein-\AE ther-Maxwell Theroy
Fei-hung Ho, Shao-Jun Zhang, Hai-Shan Liu, and Anzhong Wang
TL;DR
This paper derives a generalized Smarr integral formula for charged black holes in D-dimensional Einstein- ther-Maxwell theory, applicable to various horizons, using the Wald formalism and scaling symmetry assumptions.
Contribution
It introduces a novel derivation of the Smarr formula in higher-dimensional Einstein- ther-Maxwell theory, extending previous 4D results with a new formalism.
Findings
Derived the Smarr integral formula for D-dimensional black holes
Applicable to both Killing and universal horizons
Reproduced known 4D results using a new method
Abstract
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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