Regular Bulk Solutions in Brane-worlds with Inhomogeneous Dust and Generalized Dark Radiation

TL;DR

This paper develops exact dynamical solutions for brane-world models with inhomogeneous dust and dark radiation, analyzing black string horizons and bulk regularity during collapse.

Contribution

It introduces generalized bulk metrics and black string solutions considering inhomogeneous matter and dark radiation, extending previous static models.

Findings

Black string horizons are studied in inhomogeneous collapse scenarios.

Bulk and black string regularity improves over time with appropriate dark radiation parameters.

Exact dynamical solutions for inhomogeneous brane-world collapse are provided.

Abstract

From the dynamics of a brane-world with matter fields present in the bulk, the bulk metric and the black string solution near the brane are generalized, when both the dynamics of inhomogeneous dust/generalized dark radiation on the brane-world and inhomogeneous dark radiation in the bulk as well are considered -- as exact dynamical collapse solutions. Based on the analysis on the inhomogeneous static exterior of a collapsing sphere of homogeneous dark radiation on the brane, the associated black string warped horizon is studied, as well as the 5D bulk metric near the brane. Moreover, the black string and the bulk are shown to be more regular upon time evolution, for suitable values for the dark radiation parameter in the model, by analyzing the physical soft singularities.