Higher-dimensional solitons and black holes with a non-minimally coupled scalar field

TL;DR

This paper explores higher-dimensional soliton and black hole solutions in Einstein gravity coupled to a scalar field without self-interaction, highlighting the conditions for their existence and stability in anti-de Sitter space.

Contribution

It presents new higher-dimensional soliton and black hole solutions with a non-minimally coupled scalar field, analyzing their stability conditions.

Findings

Solutions exist only with negative cosmological constant

Some solutions are stable for moderate coupling constants

No self-interaction potential needed for solutions

Abstract

We study higher-dimensional soliton and hairy black hole solutions of the Einstein equations non-minimally coupled to a scalar field. The scalar field has no self-interaction potential but a cosmological constant is included. Non-trivial solutions exist only when the cosmological constant is negative and the constant governing the coupling of the scalar field to the Ricci scalar curvature is positive. At least some of these solutions are stable when this coupling constant is not too large.