Dilaton Black Holes on Thick Branes

TL;DR

This paper investigates the interaction between dilaton black holes and domain walls, revealing that black holes expel the walls and that small black holes are more likely to nucleate on the walls than larger ones.

Contribution

It derives the metric for a thin domain wall intersecting a dilaton black hole and analyzes the effects of the black hole on the domain wall's behavior and nucleation processes.

Findings

Dilaton black holes expel domain walls.

Small black holes are more likely to nucleate on domain walls.

Topological kink solutions smooth out singularities.

Abstract

We study a black hole domain wall system in dilatonic gravity being the low-energy limit of the string theory. Using the C-metric construction we derive the metric for an infinitisemally thin domain wall intersecting dilaton black hole. The behavior of the domain wall in the spacetime of dilaton black hole was analyzed and it was revealed that the extereme dilaton black hole always expelled the domain wall. We elaborated the back reaction problem and concluded that topological kink solution smoothes out singularity of the considered topological defect. Finally we gave some comments concerning nucleation of dilaton black holes in the presence of the domain wall. We found that domain walls would rather prefer to nucleate small black holes on them, than large ones inside them.