Dilatonic BTZ black holes with power-law field

Abstract

Motivated by low energy effective action of string theory and large applications of BTZ black holes, we will consider minimal coupling between dilaton and nonlinear electromagnetic fields in three dimensions. The main goal is studying thermodynamical structure of black holes in this set up. Temperature and heat capacity of these black holes are investigated and a picture regarding their phase transitions is given. In addition, the role and importance of studying the mass of black holes is highlighted. We will see how different parameters modify thermodynamical quantities, hence thermodynamical structure of these black holes. In addition, geometrical thermodynamics is used to investigate thermodynamical properties of these black holes. In this regard, the successful method is presented and the nature of interaction around bound and phase transition points is studied.

15 pages, 8 figures, 1 table. accepted in Phys. Lett. B

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• Thermal fluctuations, quasi-normal modes and phase transition of the charged AdS black hole with perfect fluid dark matter
• Charged Accelerating BTZ black holes
• Quasinormal Modes and Optical Properties of 4-D black holes in Einstein Power-Yang-Mills Gravity
• The Kiselev solution in power-Maxwell electrodynamics
• Static spherically symmetric Einstein-Yang-Mills-dilaton black hole and its thermodynamics
• General Black Hole Solutions in (2+1)-dimensions with a Scalar Field Non-Minimally Coupled to Gravity
• Thermodynamics and Weak Cosmic Censorship Conjecture in Nonlinear Electrodynamics Black Holes via Charged Particle Absorption
• Slowly rotating Einstein-Maxwell-dilaton black hole and some aspects of its thermodynamics
• Black Holes with Scalar Hair in Three Dimensions
• Scalar quasinormal modes for 2+1-dimensional Coulomb like AdS black holes from non lineal electrodynamics
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• Quark-antiquark confinement and nonlinear electrodynamics
• Circular geodesics in the field of double-charged dilatonic black holes
• Three-dimensional black holes with scalar hair coupled to a Maxwell-like electrodynamics
• Electromagnetic Generalized Quasi-topological gravities in $(2+1)$ dimensions
• Static dilatonic black hole with nonlinear Maxwell and Yang-Mills fields of power-law type
• Thermodynamic stability of a new three dimensional regular black hole
• On regular charged black holes in three dimensions
• Building (1+1) holographic superconductors in the presence of non-linear Electrodynamics
• Three-dimensional slowly rotating black hole in Einstein-power-Maxwell theory
• Charged BTZ-type solutions in Eddington-inspired Born-Infeld gravity