Static and Dynamic Hairy Planar Black Holes

TL;DR

This paper constructs new static and dynamic hairy black hole solutions in Einstein gravity with scalar fields in anti-de Sitter space, demonstrating nonlinear instability of the AdS vacuum through scalar-driven collapse.

Contribution

It introduces a broad class of scalar hairy black holes with specific potentials and presents exact dynamic solutions showing AdS vacuum collapse.

Findings

New scalar hairy black hole solutions in AdS

Exact dynamic collapse solutions from AdS vacuum

Demonstration of nonlinear AdS instability

Abstract

We consider Einstein gravity in general dimensions, coupled to a scalar field either minimally or non-minimally, together with a generic scalar potential. By making appropriate choices of the scalar potential, we obtain large classes of new scalar hairy black holes that are asymptotic to anti-de Sitter spacetimes in planar coordinates. For some classes of solutions, we can promote the scalar charge to be dependent on the advanced or retarded times in the Eddington-Finkelstein coordinates, and obtain exact dynamic solutions. In particular, one class of the collapse solutions describe the evolution from the AdS vacua to some stable black hole states, driven by a conformally-massless scalar. It is an explicit demonstration of nonlinear instability of the AdS vacuum that is stable at the linear level.