AdS black holes with arbitrary scalar coupling

TL;DR

This paper introduces a new class of AdS black hole solutions with arbitrary scalar coupling, featuring planar horizons and novel properties, including confinement effects and derivation from stealth configurations, extending to arbitrary dimensions.

Contribution

First explicit four-dimensional black hole solutions with arbitrary nonminimal scalar coupling and planar horizons, derived from stealth configurations and extended to higher dimensions.

Findings

Black holes with arbitrary scalar coupling parameter  identified.

Solutions include confinement of the gravitational field near the horizon.

Black holes can be generated via Kerr-Schild transformations.

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.