Abstract
We present a new family of topological charged hairy black hole solutions in asymptotically 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/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 favoured.
Highlights
Black holes are very interesting objects of general relativity (GR) where both quantum physics and strong gravity are believed to coexist
We study the thermodynamics of the constructed charged hairy topological black holes and find that the charged planar and spherical hairy black holes are thermodynamically stable and preferable than the RNAdS black hole at low temperatures, whereas RN-anti–de Sitter (AdS) black hole is preferable at high temperatures
III, we study the thermodynamics of hairy black hole solutions with different horizon topologies
Summary
Black holes are very interesting objects of general relativity (GR) where both quantum physics and strong gravity are believed to coexist. The scalar field should be regular at the horizon, and second, it should fall sufficiently fast at the asymptotic boundary Apart from these requirements, the hairy black hole solution should not lead to any additional singularity outside the horizon and it should be stable under perturbations to be considered physically expectable. Our aim is to investigate thermodynamic properties of a family of exact charged/uncharged asymptotically AdS hairy black holes, with the goal of shedding light on their thermodynamic stability. For this purpose, we consider the Einstein-Maxwell-scalar gravity system. IV, we summarize the main results and point out the future directions
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