$(2+1)$-dimensional charged black holes with scalar hair in Einstein-Power-Maxwell Theory

Abstract

We obtain an exact static solution to Einstein-Power-Maxwell (EPM) theory in $(2+1)$ dimensional AdS spacetime, in which the scalar field couples to gravity in a non-minimal way. After considering the scalar potential, a stable system leads to a constraint on the power parameter $k$ of Maxwell field. The solution contains a curvature singularity at the origin and is non-conformally flat. The horizon structures are identified, which indicates the physically acceptable lower bound of mass in according to the existence of black hole solutions. Especially for the cases with $k>1$, the lower bound is negative, thus there exist scalar black holes with negative mass. The null geodesics in this spacetime are also discussed in detail. They are divided into five models, which are made up of the cases with the following geodesic motions: no-allowed motion, the circular motion, the elliptic motion and the unbounded spiral motion.

19 pages, 4 figures; some references added

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• Exact black hole formation in three dimensions
• Can the power Maxwell nonlinear electrodynamics theory remove the singularity of electric field of point-like charges at their locations?
• Quasinormal modes of charged black holes in higher-dimensional Einstein-power-Maxwell theory
• Charged slowly rotating toroidal black holes in the (1+3)-dimensional Einstein-power-Maxwell theory
• $(2+1)$-Dimensional Black Holes in $f(R,\varphi )$ Gravity
• Orbits of light rays in (1+2)-dimensional Einstein-power-Maxwell gravity: Exact analytical solution to the null geodesic equations
• Black Holes with Scalar Hair in Three Dimensions
• Rotating $(2+1)$-dimensional Black Holes in Einstein-Maxwell-Dilaton Theory
• On the thermodynamics of hairy black holes
• Quark-antiquark confinement and nonlinear electrodynamics
• Corrected thermodynamics of $(2+1)D$ black hole conformally coupled to a massless scalar
• Novel charged black hole solutions of Born-Infeld type: General properties, Smarr formula and Quasinormal frequencies
• Gravity coupled to a scalar field from a Chern-Simons action: describing rotating hairy black holes and solitons with gauge fields
• Non-perturbative correction to thermodynamics of conformally dressed 3D black hole
• Quasinormal modes of charged BTZ black holes
• Black Holes with Abelian and Non-Abelian Charges and Their Impact on Matter Accretion Flows
• Building (1+1) holographic superconductors in the presence of non-linear Electrodynamics
• Agujeros Negros con Pelo y Dualidad AdS/CFT
• Kiselev/CFT correspondence and black hole thermodynamics
• New Solutions of the $2+1$ Dimensional Einstein Gravity Coupled to Maxwell Power type Non Linear Electric field with Dilaton field