Three dimensional rotating hairy black holes, asymptotics and thermodynamics

Abstract

A rotating hairy black hole solution is found in gravity minimally coupled to a self-interacting real scalar field in three spacetime dimensions. Then we discuss analytically the horizon structure and find an analogue of the famous Kerr bound in (2+1) dimensions because of the existence of black hole horizons. We present the asymptotic symmetries and find the same symmetry group (i.e. the conformal group) and central charge as in pure gravity. Based on the asymptotic behavior, the mass and angular momentum are presented by the Regge-Teitelboim approach. Other thermodynamic quantities are also obtained and the first law of black hole thermodynamics and Smarr relation are checked. In addition, we also investigate the local thermodynamic stability and find the existence of Hawking-Page phase transition in the rotating hairy black hole.

arXiv comment13 pages, 2 figures. arXiv admin note: text overlap with arXiv:1211.4878 by other authors

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Cited by in corpus (6)

• Three-dimensional black holes with conformally coupled scalar and gauge fields
• Black holes of $(2+1)$-dimensional $f(R)$ gravity coupled to a scalar field
• $(2+1)$-dimensional charged black holes with scalar hair in Einstein-Power-Maxwell Theory
• Exact black hole formation in three dimensions
• $(2+1)$-Dimensional Black Holes in $f(R,\varphi )$ Gravity
• On Hawking Radiation of 3D Rotating Hairy Black Holes