A New Class of Exact Hairy Black Hole Solutions

Abstract

We present a new class of black hole solutions with minimally coupled scalar field in the presence of a negative cosmological constant. We consider a one-parameter family of self-interaction potentials parametrized by a dimensionless parameter $g$. When $g=0$, we recover the conformally invariant solution of the Martinez-Troncoso-Zanelli (MTZ) black hole. A non-vanishing $g$ signals the departure from conformal invariance. All solutions are perturbatively stable for negative black hole mass and they may develop instabilities for positive mass. Thermodynamically, there is a critical temperature at vanishing black hole mass, where a higher-order phase transition occurs, as in the case of the MTZ black hole. Additionally, we obtain a branch of hairy solutions which undergo a first-order phase transition at a second critical temperature which depends on $g$ and it is higher than the MTZ critical temperature. As $g\to 0$, this second critical temperature diverges.

18 pages, 6 figures, minor changes, references added, published version

References in corpus (11)

• Building an AdS/CFT superconductor
• New Charged Black Holes with Conformal Scalar Hair
• Electrically charged black hole with scalar hair
• Charged C-metric with conformally coupled scalar field
• Quasi-normal Modes of Electromagnetic Perturbations of Four-Dimensional Topological Black Holes with Scalar Hair
• Exact Gravity Dual of a Gapless Superconductor
• Static black hole solutions with a self interacting conformally coupled scalar field
• Black Holes in the Dilatonic Einstein-Gauss-Bonnet Theory in Various Dimensions IV - Topological Black Holes with and without Cosmological Term
• An Exact Hairy Black Hole Solution for AdS/CFT Superconductors
• Discontinuities in Scalar Perturbations of Topological Black Holes
• Anti de Sitter 5D black hole solutions with a self-interacting bulk scalar field: a potential reconstruction approach

Cited by in corpus (50)

• New Gauss-Bonnet black holes with curvature induced scalarization in the extended scalar-tensor theories
• Black holes with scalar hair in light of the Event Horizon Telescope
• Charged Gauss-Bonnet black holes with curvature induced scalarization in the extended scalar-tensor theories
• Scalar Hair from a Derivative Coupling of a Scalar Field to the Einstein Tensor
• Novel Black-Hole Solutions in Einstein-Scalar-Gauss-Bonnet Theories with a Cosmological Constant
• Asymptotically (anti) de Sitter Black Holes and Wormholes with a Self Interacting Scalar Field in Four Dimensions
• Four-Dimensional Asymptotically AdS Black Holes with Scalar Hair
• Charged black hole with a scalar hair in (2+1) dimensions
• Large and Ultra-compact Gauss-Bonnet Black Holes with a Self-interacting Scalar Field
• Self-Gravitating Spherically Symmetric Solutions in Scalar-Torsion Theories
• Exact Hairy Black Holes and their Modification to the Universal Law of Gravitation
• On the Existence of Solutions with a Horizon in Pure Scalar-Gauss-Bonnet Theories
• Trace Anomaly and Counterterms in Designer Gravity
• Exact topological charged hairy black holes in AdS Space in $D$-dimensions
• Phase Transition to a Hairy Black Hole in Asymptotically Flat Spacetime
• Conformally coupled scalar black holes admit a flat horizon due to axionic charge
• Spontaneous Holographic Scalarization of Black Holes in Einstein-Scalar-Gauss-Bonnet Theories
• Black holes of $(2+1)$-dimensional $f(R)$ gravity coupled to a scalar field
• Thermodynamics of rotating black holes with scalar hair in three dimensions
• On Thermal Stability of Hairy Black Holes
• Analytic topological hairy dyonic black holes and thermodynamics
• Horizon curvature and spacetime structure influences on black hole scalarization
• $(2+1)$-dimensional charged black holes with scalar hair in Einstein-Power-Maxwell Theory
• Plebanski-Demianski solutions in Quadratic gravity with conformally coupled scalar fields
• Curvature Scalarization of Black Holes in f(R) Gravity
• Exact black hole formation in three dimensions
• Magnetically Charged Euler-Heisenberg Black Holes with Scalar Hair
• Extremal Hairy Black Holes
• Analytic three-dimensional primary hair charged black holes and thermodynamics
• Strategy to Construct Exact Solutions in Einstein-Scalar Gravities
• General Black Hole Solutions in (2+1)-dimensions with a Scalar Field Non-Minimally Coupled to Gravity
• $(2+1)$-Dimensional Black Holes in $f(R,\varphi )$ Gravity
• Hairy Black Holes in Disformal Scalar-Tensor Gravity Theories
• Anti-de Sitter massless scalar field spacetimes in arbitrary dimensions
• Rotating $(2+1)$-dimensional Black Holes in Einstein-Maxwell-Dilaton Theory
• New family of C-metrics in $\mathcal{N}=2$ gauged supergravity
• Hyperscaling violating black holes in scalar-torsion theories
• On the thermodynamics of hairy black holes
• Hairy Black Hole Stability in AdS, Quantum Mechanics on the Half-Line and Holography
• Entanglement Temperature in Non-conformal Cases
• Dynamical probe of thermodynamical properties in three-dimensional hairy AdS black holes
• Exact black-hole formation with a conformally coupled scalar field in three dimensions
• Exact Hairy Black Holes
• Hydrodynamics of a 5D Einstein-dilaton black hole solution and the corresponding BPS state
• Quantum Effects in Galileon Black Holes
• Exact Black Hole Solutions with a Conformally Coupled Scalar Field and Dynamic Ricci Curvature in $f(R)$ Gravity Theories
• Topological Black Holes with curvature induced scalarization in the extended scalar-tensor theories
• The Hawking temperature in the context of dark energy for four-dimensional asymptotically AdS black holes with scalar hair
• Agujeros Negros con Pelo y Dualidad AdS/CFT
• Scalarization of Chern-Simons Kerr Black Hole Solutions and Wormholes