Leading order corrections to the cosmological evolution of tensor perturbations in braneworld

TL;DR

This paper analyzes how extra dimensions in braneworld models affect the evolution of tensor perturbations during cosmological phases, providing analytic formulas for leading order corrections.

Contribution

It introduces an analytic approach to quantify leading order corrections to tensor perturbations due to extra dimensions in a braneworld cosmology.

Findings

Derived an analytic formula for corrections during the transition to radiation phase.

Quantified the impact of extra dimensions on tensor perturbation evolution.

Enhanced understanding of braneworld effects on early universe cosmology.

Abstract

Tensor type perturbations in the expanding brane world of the Randall Sundrum type are investigated. We consider a model composed of slow-roll inflation phase and the succeeding radiation phase. The effect of the presence of an extra dimension through the transition to the radiation phase is studied, giving an analytic formula for leading order corrections.