Gauge Invariant Derivation of Zeroth and First Laws of Black Hole Thermodynamics
arXiv:2209.00563 · doi:10.1103/PhysRevD.106.104030
Abstract
In gauge invariant theories, like Einstein-Maxwell theory, physical observables should be gauge invariant. In particular, mass, entropy, angular momentum, electric charge and their respective chemical potentials, temperature, horizon angular velocity and electric potential which appear in the laws of black hole thermodynamics should be gauge invariant. In the usual construction of the laws of black hole thermodynamics, gauge invariance of the intensive quantities is subtle; here we remedy this and provide a gauge invariant derivation and the proof of the zeroth and first laws of black hole thermodynamics.
13 pages, no figures, to match the published version
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- Dynamical entropy of charged black objects
- Hawking Temperature as the Total Gauss-Bonnet Invariant of the Region Outside a Black Hole
- From rotating attractors to extremal black holes with axionic hair