Charged black hole with a scalar hair in (2+1) dimensions

Abstract

We obtain and analyze an exact solution to Einstein-Maxwell-scalar theory in (2+ 1) dimensions, in which the scalar field couples to gravity in a nonminimal way, and it also couples to itself with the self-interacting potential solely determined by the metric ansatz. A negative cosmological constant naturally emerges as a constant term in the scalar potential. The metric is static and circularly symmetric and contains a curvature singularity at the origin. The conditions for the metric to contain 0, 1 and 2 horizons are identified, and the effects of the scalar and electric charges on the size of the black hole radius are discussed. Under proper choices of parameters, the metric degenerates into some previously known solutions in (2 + 1)-dimensional gravity.

Thermodynamics of rotating black holes with scalar hair in three dimensions

“…In addition, some new rotating hairy black hole solutions have been recently found, such as the charged hairy black hole [46,47], the Born-Infeld hairy black hole [48], the rotating charged hairy black hole with infinitesimal electric charge and rotation parameters [49], and black hole dressed by a (non)minimally coupled scalar field in new massive gravity [50], etc. It would be interesting to extend our discussion to explore the thermodynamical properties and phase transitions of these new black hole solutions and see whether the results obtained here are general.…”

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

“…Here power parameter k is a rational number whose range is k > 1 2 , restricted by the weak energy conditions (WEC) and strong energy conditions (SEC) [25,61]. For k = 1, the theory reduces to Einstein-Maxwell theory with nonminimally coupled scalar field [47]. We does not consider this case in this paper.…”

“…Then, we can obtain the following solution from the other field equations with the simplified form of scalar field shown in [47,48] …”

“…Furthermore, the charged [47], rotating [48][49][50][51], charged rotating [52] and Einstein-Born-Infeld [53] black holes with non-minimally scalar hair and rotating black hole dressed with minimal scalar field hair [54] in the (2 + 1) dimensional Einstein's gravity, and black hole dressed by a (non)minimally scalar field in New Massive Gravity [55] have been discussed. Beyond the linear Maxwell electromagnetism in theory with scalar fields, in this paper, we study the charged black hole solution with non-minimally coupled scalar field in the (2 + 1)-dimensional Einstein-Power-Maxwell (EPM) theory.…”

On attractor mechanism ofAdS4black holes

“…Recently, a class of exact AdS 4 black hole solutions was obtained [6], though in that work a different method was used (see also [7,8,9,10,11]). Our solutions are more general and are of particular interest to clarifying aspects of the AdS/CMT correspondence because they can provide information about distinct holographic phases of matter [12].…”