Lyra's cosmology of homogeneous and isotropic universe in Brans-Dicke theory

TL;DR

This paper explores a Brans-Dicke cosmological model within Lyra's geometry, analyzing its compatibility with observational data and deriving key universe parameters, revealing an accelerating universe with a signature flip in deceleration.

Contribution

It introduces a novel scalar field Brans-Dicke cosmological model in Lyra's geometry and validates it against recent observational data.

Findings

Hubble constant and matter density align with WMAP and Planck data

Deceleration parameter shows a flip from positive to negative, indicating acceleration

Derived universe age and jerk parameter match observational estimates

Abstract

In this paper, we investigate a scalar field Brans-Dicke cosmological model in Lyra's geometry which is based on the modifications in geometrical term as well as energy term of Einstein's field equations. We have examined the validity of proposed cosmological model on observational scale by performing statistical analysis from latest $H(z)$ and SN Ia observational data. We find that the estimated values of Hubble's constant and matter energy density parameter are in agreement with their corresponding values, obtained from recent observations of WMAP and Plank collaboration. We also derived deceleration parameter, age of the universe and jerk parameter in terms of red-shift and computed its present values. The dynamics of deceleration parameter in derived model of the universe shows a signature flipping from positive to negative value and also indicates that the present universe is in accelerating phase.