Thermodynamics of BTZ Black Holes in Nonlinear Electrodynamics

Abstract

We investigate electrically charged black holes in $(2+1)$ dimensional gravity coupled to nonlinear electrodynamics (NED). The metric function $f(r)$ is depicted, showing that there can be one or two horizons. We study black hole thermodynamics in extended phase space. The cosmological constant played the role of thermodynamics pressure. Electrostatic potential, vacuum polarization, internal energy, Helmholtz and Gibbs free energies as functions of black hole horizon and Hawking temperature were analysed. The global stability of the black hole is discussed. The specific heat and local thermodynamic stability of black holes are studied. Finally, the Van der Walls behaviour of the black holes is investigated.

arXiv comment12 pages, 14 figures, Published in Indian Journal of Physics

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• Frolov Black Hole Surrounded by Quintessence -- I: Thermodynamics, Geodesics and Shadows
• Exploring the Effects of Generalized Entropy onto Bardeen Black Hole Surrounded by Cloud of Strings
• Thermodynamics and optical aspects of ModMax black holes in higher order curvature gravity with quintessence dark energy