AdS black holes with arbitrary scalar coupling

Abstract

A general class of axionic and electrically charged black holes for a self-interacting scalar field nonminimally coupled to Einstein gravity with a negative cosmological constant is presented. These solutions are the first examples of black holes with an arbitrary nonminimal coupling $\xi$ in four dimensions. Moreover, due to the presence of two three-forms fields, the topology of the horizon of these black holes is planar. We discuss some properties of these solutions electing particular values of the nonminimal coupling parameter. A special case arises when $\xi =1/4$, for which the gravitational field is confined in a region close to the event horizon. We also show that these black holes emerge from stealth AdS configurations as the axionic fields are switched on, and that they can be generated through a Kerr-Schild transformation. Finally, in the appendix, we extend these results to arbitrary dimension.

23 pages

References in corpus (5)

• Lectures on Holographic Superfluidity and Superconductivity
• Universal hydrodynamics of non-conformal branes
• Gravitational Cheshire effect: Nonminimally coupled scalar fields may not curve spacetime
• Creation of the universe with a stealth scalar field
• Non-Gravitating Scalar Field in the FRW Background

Cited by in corpus (22)

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• Black Holes in Bi-scalar Extensions of Horndeski Theories
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• On the Existence of Solutions with a Horizon in Pure Scalar-Gauss-Bonnet Theories
• A class of rotating hairy black holes in arbitrary dimensions
• Axionic black branes in the k-essence sector of the Horndeski model
• Axionic black branes with conformal coupling
• Topological black holes for Einstein-Gauss-Bonnet gravity with a nonminimal scalar field
• Planar AdS black holes in Lovelock gravity with a nonminimal scalar field
• (Super-)renormalizably dressed black holes
• Thermodynamics of Lovelock black holes with a nonminimal scalar field
• Conformally coupled scalar in Lovelock theory
• Hyperscaling violating black holes in scalar-torsion theories
• Axionic charged black branes with arbitrary scalar nonminimal coupling
• AdS solitons with conformal scalar hair
• Quartic Horndeski, planar black holes, holographic aspects and universal bounds
• To stealth or not to stealth: Thermodynamics of stealth black holes
• Mimicking the LCDM model with Stealths
• Stealth's cosmologies
• A new rotating axionic AdS${}_4$ black hole dressed with a scalar field
• A new approach to the thermodynamics of scalar-tensor gravity