Analytic three-dimensional primary hair charged black holes and thermodynamics

Abstract

We present and discuss new families of primary hair charged black hole solutions in asymptotically anti-de Sitter space in three dimensions. The coupled Einstein-Maxwell-scalar gravity system, that carries the coupling $f(\varphi )$ between the scalar and Maxwell fields is solved, and exact hairy black hole solutions are obtained analytically. The hairy solutions are obtained for three different profiles of the coupling function: (i) $f(\varphi )=1$, corresponding to no direct coupling between the scalar and Maxwell fields, (ii) $f(\varphi )=e^{-\varphi }$, and (iii) $f(\varphi )=e^{-{\varphi }^2/2}$; corresponding to non-minimal coupling between them. For all these couplings the scalar field and curvature scalars are regular everywhere outside the horizon. We analyze the thermodynamics of the hairy black hole and find drastic changes in its thermodynamic structure due to the scalar field. For $f(\varphi )=1$, there exists a critical value of the hairy parameter above which the charged hairy black hole exhibits the Hawking/Page phase transition, whereas no such phase transition occurs below this critical value. Similarly, for $f(\varphi )=e^{-\varphi }$ and $f(\varphi )=e^{-{\varphi }^2/2}$, the hairy solution exhibits a small/large black hole phase transition for above critical values of the hairy parameter. Interestingly, for these couplings, the thermodynamic phase diagram of three-dimensional hairy charged black holes resembles that of a higher-dimensional RN-AdS black hole, albeit with two second-order critical points.

34 pages; many figures; slightly changed title, discussion on primary hair added, typos corrected, references added

References in corpus (29)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• Gauge Singlet Scalars as Cold Dark Matter
• Massive Gravity in Three Dimensions
• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Black holes with scalar hair in light of the Event Horizon Telescope
• Testing the black hole "no-hair" hypothesis
• Asymptotic behavior and Hamiltonian analysis of anti-de Sitter gravity coupled to scalar fields
• Black Holes in Bi-scalar Extensions of Horndeski Theories
• No-Hair Theorem in the Wake of Event Horizon Telescope
• Towards a Novel no-hair Theorem for Black Holes
• Thermal entropy of a quark-antiquark pair above and below deconfinement from a dynamical holographic QCD model
• Thermodynamics of a BTZ black hole solution with an Horndeski source
• Electrically charged black hole with scalar hair
• Charged C-metric with conformally coupled scalar field
• Regular black holes in three dimensions
• A class of rotating hairy black holes in arbitrary dimensions
• Rotating hairy black holes and thermodynamics from gravitational decoupling
• Scalar solitons and the microscopic entropy of hairy black holes in three dimensions
• Holographic model for light quarks in anisotropic hot dense QGP with external magnetic field
• Three-dimensional black holes with conformally coupled scalar and gauge fields
• Thermodynamics of rotating black holes with scalar hair in three dimensions
• A quenched 2-flavour Einstein-Maxwell-dilaton gauge-gravity model
• Analytic topological hairy dyonic black holes and thermodynamics
• Thermodynamics and Phase Structure of an Einstein-Maxwell-scalar Model in Extended Phase Space
• Spinning black holes for generalized scalar tensor theories in three dimensions
• General Black Hole Solutions in (2+1)-dimensions with a Scalar Field Non-Minimally Coupled to Gravity
• Hairy Black Holes in Disformal Scalar-Tensor Gravity Theories
• Black Holes with Scalar Hair in Three Dimensions
• Rotating $(2+1)$-dimensional Black Holes in Einstein-Maxwell-Dilaton Theory

Cited by in corpus (11)

• Interplay between the Lyapunov exponents and phase transitions of charged AdS black holes
• Anisotropic Generalized Polytropic Spheres: Regular 3D Black Holes
• Exact black holes in string-inspired Euler-Heisenberg theory
• On regular charged black holes in three dimensions
• Scalarization of the Reissner-Nordström black hole with higher derivative gauge field corrections
• Interplay of magnetic field and chemical potential induced anisotropy and frame dependent chaos of a $Q\bar{Q}$ pair in holographic QCD
• AdS${}_3$ black holes with primary Proca hair from a regularized Gauss-Bonnet coupling
• Regular AdS${}_3$ black holes from regularized Gauss-Bonnet coupling
• Probing Quarkonium Diffusion in a Magnetized Quark-Gluon Plasma
• Linear perturbations of dyonic black holes in the lowest-order $U(1)$ gauge-invariant scalar-vector-tensor theories
• Self-interacting scalar field in (2+1) dimensions Einstein gravity with torsion