Thermodynamics of a charged hairy black hole in (2+1) dimensions

Abstract

In this paper we study thermodynamics, statistics and spectroscopic aspects of a charged black hole with a scalar hair coupled to the gravity in (2+1) dimensions. We obtained effects of the black hole charge and scalar field on the thermodynamical and statistical quantities. We find that scalar charge may increase entropy, temperature and probability, while may decrease black hole mass, free and internal energy. Also electric charge increases probability and decreases temperature and internal energy. Also we investigate stability of the system and find that the thermodynamical stability exists.

18 pages, 12 figures. References added

References in corpus (6)

• Black hole spectroscopy via adiabatic invariance
• Charged black hole with a scalar hair in (2+1) dimensions
• Note on Thermodynamics Method of Black Hole/CFT Correspondence
• An Exact Hairy Black Hole Solution for AdS/CFT Superconductors
• Critical Behaviors of 3D Black Holes with a Scalar Hair
• Thermodynamics and Spectroscopy of charged Dilaton black holes

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• Holograghic Brownian motion in $2+1$ dimensional hairy black holes
• The Klein-Gordon Equation of a Rotating Charged Hairy Black Hole in (2+1) Dimensions
• Three dimensional rotating hairy black holes, asymptotics and thermodynamics
• The temperature and entropy corrections on the charged hairy black holes
• Statistical Physics of 3D Hairy Black Holes
• On Hawking Radiation of 3D Rotating Hairy Black Holes