Regge-Teitelboim cosmology driven by a curved background

TL;DR

This paper explores how a curved ambient spacetime influences the dynamics of a brane universe modeled by Regge-Teitelboim theory, showing strong agreement with observational data on cosmic expansion.

Contribution

It introduces a novel analysis of RT brane dynamics embedded in a curved background and compares the effects on cosmological evolution with observational data.

Findings

The ambient curvature significantly affects the brane universe's evolution.

Results align well with observed Hubble parameter and redshift data.

Provides a new perspective on embedding effects in brane cosmology.

Abstract

We derive the dynamic equations governing a Regge Teitelboim (RT) brane that represents our universe considering that its degrees of freedom are the embedding functions, evolving in a five dimensional curved spacetime. Within this framework, we investigate the effects of embedding a Friedmann Robertson Walker (FRW) metric into a specific curved ambient spacetime. This approach allows us to analyze in detail how the ambient spacetime's curvature influences the brane universe's dynamics. Specifically, we examine the relationship between the Hubble parameter $H$ and the redshift $z$, demonstrating that our results significantly agree with actual observational data. This is contrasted and compared with other approaches.