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Paper   IPM / P / 17098
School of Physics
  Title:   Gauge invariant derivation of zeroth and first laws of black hole thermodynamics
  Author(s): 
1.  K. Hajian
2.  M.M. Sheikh-Jabbari
3.  B. Tekin
  Status:   Published
  Journal: Phys. Rev. D
  No.:  10
  Vol.:  106
  Year:  2022
  Pages:   10
  Supported by:  IPM
  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.

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