Constraints on parameters of models with extra dimension from primordial nucleosynthesis

TL;DR

This paper investigates 5D brane-world models with an extra dimension, deriving constraints on model parameters based on primordial helium production during nucleosynthesis, using current cosmological observations.

Contribution

It provides new bounds on 5D model parameters ensuring consistency with primordial nucleosynthesis data.

Findings

Constraints on dimensionless model parameters derived from helium abundance data.

Models with both positive and negative brane tension are analyzed.

Compatibility of 5D models with observed primordial element abundances.

Abstract

5D models with one 3D brane and one infinite extra dimension are studied. Matter is confined to the brane, gravity extends to the bulk. Models with positive and negative tension of the brane are studied. Cosmological solutions on the brane are obtained by solving the generalized Friedmann equation. As the input in cosmological solutions we use the present-time observational cosmological parameters. We find constraints on dimensionless combinations of scales of 5D models which follow from the requirement that the models reproduce the data on production of ${}^4 He$ in primordial nucleosynthesis.