Black holes of $(2+1)$-dimensional $f(R)$ gravity coupled to a scalar field

Abstract

We consider $f(R)$ gravity theories in the presence of a scalar field minimally coupled to gravity with a self-interacting potential in $(2+1)$-dimensions. Without specifying the form of the $f(R)$ function, we first obtain an exact black hole solution dressed with scalar hair with the scalar charge to appear in the $f(R)$ function and we discuss its thermodynamics. This solution at large distances gives a hairy BTZ black hole, and it reduces to the BTZ black hole when the scalar field decouples. In a pure $f(R)$ gravity supported by the scalar field, we find an exact hairy black hole similar to the BTZ black hole with phantom hair and an analytic $f(R)$ form and discuss its thermodynamics.

References added, 15 pages, 6 figures, accepted for publication in PRD

References in corpus (24)

• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Spherically symmetric solutions of modified field equations in f(R) theories of gravity
• The Cosmology of f(R) Gravity in the Metric Variational Approach
• Black holes with non-minimal derivative coupling
• Matter instability in modified gravity
• Cosmographic bounds on the cosmological deceleration-acceleration transition redshift in $f(\mathcal{R})$ gravity
• Static spherically symmetric perfect fluid solutions in $f(R)$ theories of gravity
• Cosmological Constraints on f(R) Acceleration Models
• Charged spherically symmetric black holes in $f(R)$ gravity and their stability analysis
• Exact solutions of three dimensional black holes: Einstein gravity vs F(R) gravity
• Electrically charged black hole with scalar hair
• New rotating black holes in non-linear Maxwell $f(\mathcal{R})$ gravity
• Scalar solitons and the microscopic entropy of hairy black holes in three dimensions
• Three-dimensional black holes with conformally coupled scalar and gauge fields
• Plebanski-Demianski solutions in Quadratic gravity with conformally coupled scalar fields
• Curvature Scalarization of Black Holes in f(R) Gravity
• Extremal Hairy Black Holes
• Analytic charged BHs in $f(\mathcal{R})$ gravity
• Thin shells in (2+1)-dimensional F(R) gravity
• (2+1)-dimensional solutions in $F(R)$ gravity
• General Black Hole Solutions in (2+1)-dimensions with a Scalar Field Non-Minimally Coupled to Gravity
• Three-dimensional black holes via Noether symmetries
• Three dimensional rotating hairy black holes, asymptotics and thermodynamics

Cited by in corpus (22)

• Regular black holes in three dimensions
• $f(\mathsf{R})$ Gravity Wormholes sourced by a Phantom Scalar Field
• Magnetically Charged Euler-Heisenberg Black Holes with Scalar Hair
• Anisotropic Generalized Polytropic Spheres: Regular 3D Black Holes
• Shear viscosity from black holes in generalized scalar-tensor theories in arbitrary dimensions
• Regular Compact Objects with Scalar Hair
• Compact objects with primary hair in shift and parity symmetric beyond Horndeski gravities
• $2+1$ Einstein-Klein-Gordon black holes by gravitational decoupling
• Exact black holes in string-inspired Euler-Heisenberg theory
• $(2+1)$-Dimensional Black Holes in $f(R,\varphi )$ Gravity
• Novel exact ultra-compact and ultra-sparse hairy black holes emanating from regular and phantom scalar fields
• Black Holes with Scalar Hair in Three Dimensions
• Rotating $(2+1)$-dimensional Black Holes in Einstein-Maxwell-Dilaton Theory
• Black Holes with Electric and Magnetic Charges in $F(R)$ Gravity
• Electromagnetic Generalized Quasi-topological gravities in $(2+1)$ dimensions
• New black hole solutions in three-dimensional $f(R)$ gravity
• Gravity coupled to a scalar field from a Chern-Simons action: describing rotating hairy black holes and solitons with gauge fields
• Thin-shell wormholes in (2+1)-dimensional F(R) theories
• On regular charged black holes in three dimensions
• Quasinormal modes of charged BTZ black holes
• Exact Black Hole Solutions with a Conformally Coupled Scalar Field and Dynamic Ricci Curvature in $f(R)$ Gravity Theories
• Thermodynamics, Phase Transitions, and Geodesic Structure of F(R)-Phantom Banados-Teitelboim-Zanelli (BTZ) Black Holes