Three-dimensional black holes with conformally coupled scalar and gauge fields

Abstract

We consider three-dimensional gravity with negative cosmological constant in the presence of a scalar and an Abelian gauge field. Both fields are conformally coupled to gravity, the scalar field through a nonminimal coupling with the curvature and the gauge field by means of a Lagrangian given by a power of the Maxwell one. A sixth-power self-interaction potential, which does not spoil conformal invariance is also included in the action. Using a circularly symmetric ansatz, we obtain black hole solutions dressed with the scalar and gauge fields, which are regular on and outside the event horizon. These charged hairy black holes are asymptotically anti-de Sitter spacetimes. The mass and the electric charge are computed by using the Regge-Teitelboim Hamiltonian approach. If both leading and subleading terms of the asymptotic condition of the scalar field are present, a boundary condition that functionally relates them is required for determining the mass. Since the asymptotic form of the scalar field solution is defined by two integration constants, the boundary condition may or may not respect the asymptotic conformal symmetry. An analysis of the temperature and entropy of these black holes is presented. The temperature is a monotonically increasing function of the horizon radius as expected for asymptotically anti-de Sitter black holes. However, restrictions on the parameters describing the black holes are found by requiring the entropy to be positive, which, given the nonminimal coupling considered here, does not follow the area law. Remarkably, the same conditions ensure that the conformally related solutions become black holes in the Einstein frame.

arXiv comment21 pages, 3 figures. References added, minor clarifications, to appear in PRD

References in corpus (28)

• The Black Hole in Three Dimensional Space Time
• Geometry of the 2+1 Black Hole
• Charged Rotating Black Hole in Three Spacetime Dimensions
• Higher-dimensional black holes with a conformally invariant Maxwell source
• Testing the general relativistic ''no-hair'' theorems using the galactic center black hole SgrA*
• Black holes and asymptotics of 2+1 gravity coupled to a scalar field
• Testing the No-Hair Theorem with Event Horizon Telescope Observations of Sagittarius A*
• Conformally dressed black hole in 2+1 dimensions
• Dirty black holes: Entropy as a surface term
• Designer Gravity and Field Theory Effective Potentials
• Topological black holes dressed with a conformally coupled scalar field and electric charge
• (2+1)-Dimensional Black Hole with Coulomb-like Field
• Stealth Scalar Field Overflying a 2+1 Black Hole
• Gravitational Cheshire effect: Nonminimally coupled scalar fields may not curve spacetime
• Charged black hole with a scalar hair in (2+1) dimensions
• Non-minimally coupled scalar fields and isolated horizons
• A finite action for three dimensional gravity with a minimally coupled scalar field
• Mass of asymptotically anti-de Sitter hairy spacetimes
• Scalar solitons and the microscopic entropy of hairy black holes in three dimensions
• Hairy black hole entropy and the role of solitons in three dimensions
• Rotating hairy black hole and its microscopic entropy in three spacetime dimensions
• Bootstrapping gravity solutions
• Rotating AdS black hole stealth solution in D=3
• Entropy for Asymptotically AdS_3 Black Holes
• The Conformal Stealth of any Standard Cosmology
• Creation of the universe with a stealth scalar field
• Analogies between self-duality and stealth matter source
• Three dimensional rotating hairy black holes, asymptotics and thermodynamics

Cited by in corpus (27)

• Massive charged BTZ black holes in asymptotically (a)dS spacetimes
• Superradiant instability and charged scalar quasinormal modes for $2+1$-dimensional Coulomb-like AdS black holes from nonlinear electrodynamics
• 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
• Exploring Accelerating Hairy Black Holes in $2+1$ Dimensions: The Asymptotically Locally Anti-de Sitter Class and its Holography
• (Super-)renormalizably dressed black holes
• Exact black hole formation in three dimensions
• Analytic three-dimensional primary hair charged black holes and thermodynamics
• Cloud of strings as source in $2+1$-dimensional $f(R)=R^n$ gravity
• Conformal renormalization of scalar-tensor theories
• Asymptotic structure of the Einstein-Maxwell theory on AdS${}_3$
• $(2+1)$-Dimensional Black Holes in $f(R,\varphi )$ Gravity
• Nonlinearly charging the conformally dressed black holes preserving duality and conformal invariance
• Weak Deflection Angle, Greybody Bound and Shadow for Charged Massive BTZ Black Hole
• Cardy formula for charged black holes with anisotropic scaling
• Black Holes with Scalar Hair in Three Dimensions
• Scalar quasinormal modes for 2+1-dimensional Coulomb like AdS black holes from non lineal electrodynamics
• Rotating $(2+1)$-dimensional Black Holes in Einstein-Maxwell-Dilaton Theory
• Corrected thermodynamics of $(2+1)D$ black hole conformally coupled to a massless scalar
• Dynamical probe of thermodynamical properties in three-dimensional hairy AdS black holes
• Three-Dimensional Hairy Black Holes in Teleparallel Gravity
• Gravity coupled to a scalar field from a Chern-Simons action: describing rotating hairy black holes and solitons with gauge fields
• Three-dimensional AdS black holes in massive-power-Maxwell theor
• Non-perturbative correction to thermodynamics of conformally dressed 3D black hole
• Well-posed non-vacuum solutions in Robinson--Trautman geometry
• Gravitational Waves from Thurston Geometries
• Self-interacting scalar field in (2+1) dimensions Einstein gravity with torsion