Cosmological Black Holes on Branes

TL;DR

This paper analytically investigates the interaction between cosmological black holes and domain walls, deriving new metrics and analyzing black hole nucleation on domain walls, revealing that small black holes are more likely to nucleate on them.

Contribution

It introduces an analytical solution for a cosmological black hole intersecting a domain wall using the C-metric and studies the scalar field behavior and black hole nucleation processes.

Findings

Derived the metric for a black hole intersecting a domain wall.

Found the topological kink smooths out singularities in thin walls.

Concluded small black holes nucleate on domain walls rather than large ones.

Abstract

We examined analytically a cosmological black hole domain wall system. Using the C-metric construction we derived the metric for the spacetime describing an infinitely thin domain wall intersecting a cosmological black hole. We studied the behaviour of the scalar field describing a self-interacting cosmological domain wall and find the approximated solution valid for large distances. The thin wall approximation and the back raection problem were elaborated finding that the topological kink solution smoothed out singular behaviour of the zero thickness wall using a core topological and hence thick domain wall. We also analyze the nucleation of cosmological black holes on and in the presence of a domain walls and conclude that the domain wall will nucleate small black holes on it rather than large ones inside.