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.

12 pages, 14 figures, Published in Indian Journal of Physics

References in corpus (6)

• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Nonlinear electrodynamics and magnetic black holes
• Thermodynamics of Einstein-Born-Infeld black holes in three dimensions
• Nonlinearly charged AdS black holes, extended phase space thermodynamics and Joule-Thomson expansion
• Thermodynamical stability of $f(R)$-AdS black holes in grand canonical ensemble
• Quantum Probe of Time-like Naked Singularities for Electrically and Magnetically Charged Black Holes in a Model of Nonlinear Electrodynamics

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• Thermodynamics, Weak Gravitational Lensing, and Parameter Estimation of a Schwarzschild Black Hole Immersed in Hernquist Dark Matter Halo
• 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