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.

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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