English

Rational nonlinear electrodynamics of AdS black holes and extended phase space thermodynamics

General Physics 2022-10-13 v1

Abstract

The critical behavior of magnetically charged by rational nonlinear electrodynamics (RNED) AdS black holes in an extended phase space is investigated. The cosmological constant is considered as a thermodynamic pressure and the black hole mass is identified with the chemical enthalpy. The analogy with the Van der Waals liquid-gas system is found and the critical exponents coincide with those of the Van der Waals system. The thermodynamics of RNED-AdS black holes and phase transitions are studied. A new thermodynamic quantities conjugated to the nonlinear parameter of RNED and a magnetic charge are defined. It is demonstrated the consistency of the first law of black hole thermodynamics and the Smarr formula.

Keywords

Cite

@article{arxiv.2210.06344,
  title  = {Rational nonlinear electrodynamics of AdS black holes and extended phase space thermodynamics},
  author = {S. I. Kruglov},
  journal= {arXiv preprint arXiv:2210.06344},
  year   = {2022}
}

Comments

24 pages, 10 figures, 1 table