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

Understand

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.