Asymmetric embedding in brane cosmology

TL;DR

This paper develops a set of cosmological equations for asymmetric braneworld models with different properties on each side of the brane, extending previous symmetric models and analyzing their cosmological implications.

Contribution

It introduces a new framework for asymmetric brane cosmology with induced curvature, deriving exact equations without symmetry assumptions.

Findings

Derived exact scalar equations for asymmetric brane cosmology

Analyzed various cosmological evolution scenarios on asymmetric branes

Extended the understanding of bulk-brane interactions in non-symmetric settings

Abstract

We derive a system of cosmological equations for a braneworld with induced curvature which is a junction between several bulk spaces. The permutation symmetry of the bulk spaces is not imposed, and the values of the fundamental constants, and even the signatures of the extra dimension, may be different on different sides of the brane. We then consider the usual partial case of two asymmetric bulk spaces and derive an exact closed system of scalar equations on the brane. We apply this result to the cosmological evolution on such a brane and describe its various partial cases.