English

Phase transitions in four-dimensional AdS black holes with a nonlinear electrodynamics source

General Relativity and Quantum Cosmology 2021-12-08 v2 High Energy Physics - Theory

Abstract

In this work we consider black hole solutions to Einstein theory coupled to a nonlinear power-law electromagnetic field with a fixed exponent value. We study the extended phase space thermodynamics in canonical and grand canonical ensembles where the varying cosmological constant plays the role of an effective thermodynamic pressure. We examine thermodynamical phase transitions in such black hols and find that both first and second order phase transitions can occur in the canonical ensemble, while for the grand canonical ensemble the Hawking-Page and second order phase transitions are allowed.

Keywords

Cite

@article{arxiv.2011.14239,
  title  = {Phase transitions in four-dimensional AdS black holes with a nonlinear electrodynamics source},
  author = {Ramon Becar and P. A. Gonzalez and Joel Saavedra and Yerko Vasquez and Bin Wang},
  journal= {arXiv preprint arXiv:2011.14239},
  year   = {2021}
}

Comments

19 pages, 8 figures. Some references added and minor revision

R2 v1 2026-06-23T20:34:25.701Z