Dynamic domain wall in charged dilaton black hole spacetimes

TL;DR

This paper investigates the dynamics of a domain wall universe within charged dilaton black hole spacetimes, revealing various expansion behaviors and the influence of parameters like dilaton coupling and pressure-to-density ratio.

Contribution

It introduces a detailed analysis of domain wall motion in non-asymptotically flat and (A)dS charged dilaton black holes, highlighting new parametric effects on expansion and collapse.

Findings

Domain wall can cross the black hole horizon.

Expansion behaviors include acceleration, slow expansion, and collapse.

Big bang scenario applies; big bounce does not occur.

Abstract

In this paper we study the dynamics of $ n-1$ dimensional domain wall universe embedded in a $n$ dimensional charged dilaton black hole bulk with the non-asymptotically flat and non-asymptotically (A)dS characters. We find that domain wall can always cross horizon, for which the dilaton coupling constant $a$ and the ratio of pressure to density $w$ play the role of controlling parameters. Then the consequent domain wall motion outside the black hole generally falls into four situations: all time accelerating expansion, slow expansion with a constant speed, expansion followed by collapsing into horizon, and accelerating collapsing into horizon. However, there exists a small patch of parametric sphere, in which the domain wall expansion first slows down and then accelerates. Our analysis also reveals that the big bang theory applies to the domain wall world scenario, while big bounce will not appear in our paper. Furthermore, we find that when we choose the expansion stage as radiation or matter stage, the resultant coupling strength between dilaton field and Maxwell field depends on the different black hole models.