Reissner-Nordstrom Black Holes and Thick Domain Walls

TL;DR

This paper numerically investigates the interaction between thick domain walls and Reissner-Nordstrom black holes, revealing conditions for scalar field expulsion depending on black hole parameters.

Contribution

It introduces a numerical analysis of scalar fields around charged black holes, identifying limits for domain wall expulsion in extremal cases.

Findings

Existence of static axisymmetric solutions for scalar fields around charged black holes.

Identification of a parameter threshold for scalar field expulsion.

Demonstration of scalar field behavior in extremal black hole backgrounds.

Abstract

We solve numerically equations of motion for real self-interacting scalar fields in the background of Reissner-Nordstrom black hole and obtained a sequence of static axisymmetric solutions representing thick domain walls charged black hole systems. In the case of extremal Reissner-Nordstrom black hole solution we find that there is a parameter depending on the black hole mass and the width of the domain wall which constitutes the upper limit for the expulsion to occur.