Cosmological constraints on parameters of one-brane models with extra dimension

TL;DR

This paper investigates cosmological models with a single infinite extra dimension, deriving constraints on model parameters based on observational data such as universe age and primordial nucleosynthesis.

Contribution

It provides a detailed analysis of 5D brane cosmologies with warped solutions, connecting theoretical models with observational constraints.

Findings

Constraints on 5D gravitational scale and warp factor from cosmological data

Estimated universe age consistent with observational bounds

Predicted helium abundance aligns with primordial nucleosynthesis observations

Abstract

We study some aspects of cosmologies in 5D models with one infinite extra dimension. Matter is confined to the brane, gravity extends to the bulk. Models with positive and negative tension of the brane are considered. Cosmological evolution of the 4D world is described by warped solutions of the generalized Friedmann equation. Cosmological solutions on the brane are obtained with the input of the present-time observational cosmological parameters. We estimate the age of the Universe and abundance of ${}^4 He$ produced in primordial nucleosynthesis in different models. Using these estimates we find constraints on dimensionless combinations of the 5D gravitational scale, scale of the warp factor and coupling at the 4D curvature term in the action.