Cosmological Parameters For Spatially Flat Dust Filled Universe In Brans-Dicke Theory

TL;DR

This study models a flat, dust-filled universe in Brans-Dicke theory with a cosmological constant, deriving key cosmological parameters and comparing them with recent observational data to validate the model.

Contribution

It provides a detailed analysis of late-time cosmic acceleration in Brans-Dicke theory, estimating key parameters and matching them with observational data for the first time in this context.

Findings

Good agreement with supernova and Hubble parameter data

Estimated current matter and dark energy densities

Calculated universe's age and deceleration parameter

Abstract

In this paper, we have investigated late time acceleration for a spatially flat dust filled Universe in Brans-Dicke theory in the presence of a positive cosmological constant $\Lambda$ . Expressions for Hubble's constant, luminosity distance and apparent magnitude have been obtained for our model. The theoretical results are compared with the observed values of the the latest 287 high red shift ($ .3 \leq z \leq 1.4$ ) SN Ia supernova data's taken from Union 2.1 compilation to estimate the present values of the matter and dark energy parameters $(\Omega_{m})_0$ and $(\Omega_{\Lambda})_0$. We have also estimated the present value of Hubble's constant $H_0$ in the light of a updated sample of Hubble parameter measurements including 19 independent data points. The results are found to be in good agreement with recent astrophysical observations. We have also calculated various physical parameters such as the matter and dark energy densities, the present age of the universe and deceleration parameter. The value for BD-coupling constant $\omega$ is set to be 40000 on the basis of accuracy of the solar system tests and recent experimental evidence.