Energy flux through the horizon in the black hole-domain wall systems

TL;DR

This paper investigates how energy flux through black hole horizons is affected by the presence of domain walls and cosmic strings, revealing conditions under which flux is zero or non-zero, with implications for cosmology and brane world models.

Contribution

It provides a detailed analysis of energy fluxes through black hole horizons in systems with domain walls and strings, including time-dependent configurations.

Findings

Zero energy flux for static domain walls entering black holes perpendicularly.

Non-zero flux in configurations with time and position-dependent parameters.

Implications for cosmological models with domain walls and brane world scenarios.

Abstract

We study various configurations in which a domain wall (or cosmic string), described by the Nambu-Goto action, is embedded in a background space-time of a black hole in $(3+1)$ and higher dimensional models. We calculate energy fluxes through the black hole horizon. In the simplest case, when a static domain wall enters the horizon of a static black hole perperdicularly, the energy flux is zero. In more complicated situations, where parameters which describe the domain wall surface are time and position dependent, the flux is non-vanishing is principle. These results are of importance in various conventional cosmological models which accommodate the existence of domain walls and strings and also in brane world scenarios.