English

Three-dimensional static black hole with $\Lambda$ and nonlinear electromagnetic fields and its thermodynamics

General Relativity and Quantum Cosmology 2023-04-06 v1 High Energy Physics - Theory

Abstract

Static black hole with the Power Maxwell invariant (PMI), Born-Infeld (BI), logarithmic (LN), exponential (EN) electromagnetic fields in three-dimensional spacetime with cosmological constant was studied. It was shown that the LN and EN fields represent the Born-Infeld type of nonlinear electrodynamics. It the framework of General Relativity the exact solutions of the field equations were obtained, corresponding thermodynamic functions were calculated and the P-V criticality of the black holes in the extended phase space thermodynamics was investigated.

Keywords

Cite

@article{arxiv.2304.02118,
  title  = {Three-dimensional static black hole with $\Lambda$ and nonlinear electromagnetic fields and its thermodynamics},
  author = {Mykhailo Tataryn and Mykola Stetsko},
  journal= {arXiv preprint arXiv:2304.02118},
  year   = {2023}
}
R2 v1 2026-06-28T09:49:54.459Z