Exact topological charged hairy black holes in AdS space in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi></mml:math> dimensions
Subhash Mahapatra, Supragyan Priyadarshinee, Gosala Narasimha Reddy, Bhaskar Shukla
Abstract
We present a new family of topological charged hairy black hole solutions in asymptotically anti--de Sitter (AdS) space in $D$ dimensions. We solve the coupled Einstein-Maxwell-scalar gravity system and obtain exact charged hairy black hole solutions with planar, spherical, and hyperbolic horizon topologies. The scalar field is regular everywhere. We discuss the thermodynamics of the hairy black hole and find drastic changes in its thermodynamic structure due to the scalar field. For the case of planar and spherical horizons, we find charged hairy/Reissner-Nordstrom (RN)-AdS black hole phase transition, with thermodynamically preferred and stable charged hairy phases at low temperature. For the case of hyperbolic horizon, no such transition occurs and RN-AdS black holes are always thermodynamically favored.