Thick Domain Walls in AdS Black Hole Spacetimes

TL;DR

This paper numerically constructs static solutions describing thick domain walls around AdS black holes, revealing how scalar fields interact with black hole parameters and the conditions for field expulsion.

Contribution

It introduces new numerical solutions for thick domain walls in AdS black hole backgrounds, exploring their dependence on black hole and wall parameters.

Findings

Scalar field expulsion depends on black hole extremality

Solutions vary with black hole mass and cosmological constant

Thick domain walls can coexist with black holes in AdS spacetime

Abstract

Equations of motion for a real self-gravitating scalar field in the background of a black hole with negative cosmological constant were solved numerically. We obtain a sequence of static axisymmetric solutions representing thick domain wall cosmological black hole systems, depending on the mass of black hole, cosmological parameter and the parameter binding black hole mass with the width of the domain wall. For the case of extremal cosmological black hole the expulsion of scalar field from the black hole strongly depends on it.