Thermodynamics of rotating black holes with scalar hair in three dimensions

Abstract

Introducing a new form of scalar potential $V(\varphi )$, we derive a proper form of the rotating black hole solution in three-dimensional Einstein gravity with nonminimally coupled scalar field and find that the first law of thermodynamics of this new rotating hairy black hole can be protected, where the scalar field parameter $B$ is constrained to relate to the black hole size. We also disclose the Hawking-Page phase transition between this rotating hairy black holes and the pure thermal radiation. Moreover, we study phase transitions between this rotating hairy black hole and rotating BTZ black hole. Considering the matchings for the temperature and angular momentum, we find that the rotating BTZ black hole always has smaller free energy which is a thermodynamically more preferred phase. Additionally, we evaluate the thermodynamics of the rotating black hole with minimally coupled scalar hair in three dimensions, which exhibits that the thermodynamical behaviors of this rotating hairy black hole are very similar to those of the rotating black hole with nonminimally coupled scalar hair.

15 pages, 4 figures, minor changes, To be published in Phys. Rev. D

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• Hawking Radiation of Spin-1 Particles From Three Dimensional Rotating Hairy Black Hole
• Generalised Smarr Formula and the Viscosity Bound for Einstein-Maxwell-Dilaton Black Holes
• PV criticality of Achucarro-Ortiz black hole in the presence of higher order quantum and GUP corrections
• Joule-Thomson expansion of Lower-dimensional black hole
• Static and Dynamic Hairy Planar Black Holes
• $(2+1)$-dimensional charged black holes with scalar hair in Einstein-Power-Maxwell Theory
• Exact black hole formation in three dimensions
• $P-v$ criticality of a specific black hole in $f(R)$ gravity coupled with Yang-Mills field
• Analytic three-dimensional primary hair charged black holes and thermodynamics
• The Klein-Gordon Equation of a Rotating Charged Hairy Black Hole in (2+1) Dimensions
• Quantum tunneling from rotating black holes with scalar hair in three dimensions
• Dynamical probe of thermodynamical properties in three-dimensional hairy AdS black holes
• Einstein-Maxwell gravity coupled to a scalar field in 2+1-dimensions
• Quasinormal modes of charged BTZ black holes
• Information evolution in the interior of an axially symmetric BTZ black hole
• A new rotating axionic AdS${}_4$ black hole dressed with a scalar field
• Charged Black Holes with Scalar Hair
• Hawking Radiation of Warped Anti de Sitter and Rotating Hairy Black Holes with Scalar Hair