Thick Domain Walls and Charged Dilaton Black Holes

TL;DR

This paper investigates the interaction between thick domain walls and charged dilaton black holes within string theory-inspired gravity, demonstrating the existence of static configurations and the expulsion of walls by extreme black holes.

Contribution

It provides the first numerical solutions showing static thick domain walls around charged dilaton black holes and confirms wall expulsion in extreme cases.

Findings

Existence of static axisymmetric domain wall solutions

Charged dilaton black holes can support thick domain walls

Extreme dilaton black holes expel the domain walls

Abstract

We study a black hole domain wall system in dilaton gravity which is the low-energy limit of the superstring theory. We solve numerically equations of motion for real self-interacting scalar field and justify the existence of static axisymmetric field configuration representing the thick domain wall in the background of a charged dilaton black hole. It was also confirmed that the extreme dilaton black hole always expelled the domain wall.