Conformally coupled scalar solitons and black holes with negative cosmological constant

TL;DR

This paper demonstrates the existence and linear stability of conformally coupled scalar solitons and black holes in higher-dimensional anti-de Sitter spacetimes, expanding understanding of scalar field configurations in such backgrounds.

Contribution

It introduces new globally regular and black hole solutions with conformally coupled scalar fields in AdS space, and analyzes their stability, which was not previously established.

Findings

Existence of scalar solitons and black holes in AdS with conformal coupling.

Numerical evidence of linear stability for these solutions.

Solutions are characterized by the central scalar field value.

Abstract

We present arguments for the existence of both globally regular and black hole solutions of the Einstein equations with a conformally coupled scalar field, in the presence of a negative cosmological constant, for space-time dimensions greater than or equal to four. These configurations approach asymptotically anti-de Sitter spacetime and are indexed by the central value of the scalar field. We also study the stability of these solutions, and show that, at least for all the solutions studied numerically, they are linearly stable.