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

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.

References in corpus (8)

• Higher-dimensional charged black holes solutions with a nonlinear electrodynamics source
• Thermodynamics and phase transitions in the Born-Infeld-anti-de Sitter black holes
• Dilaton black holes coupled to nonlinear electrodynamic field
• Thermodynamics of Einstein-Born-Infeld black holes with negative cosmological constant
• Exact solutions of three dimensional black holes: Einstein gravity vs F(R) gravity
• Scalar-tensor black holes coupled to Born-Infeld nonlinear electrodynamics
• Remarks on Heisenberg-Euler-type electrodynamics
• Thermodynamics of Born-Infeld Black Holes

Cited by in corpus (2)

• Thermodynamics of a static electric-magnetic black hole in Einstein-Born-Infeld-AdS theory with different horizon geometries
• Three-dimensional slowly rotating black hole in Einstein-power-Maxwell theory