Stability analysis and Observational Measurement in Chameleonic Generalised Brans--Dicke Cosmology

TL;DR

This paper analyzes the stability and observational consistency of a chameleonic Generalised Brans--Dicke cosmological model, revealing that the universe accelerates without phantom crossing in the recent past or near future.

Contribution

It introduces a new phase space stability analysis framework for the model, fitting parameters with observational data to assess cosmological dynamics.

Findings

Accelerating universe without past or near-future phantom crossing

Stability and attractor solutions identified in phase space

Model parameters fitted with observational data

Abstract

We investigate the dynamics of the chameleonic Generalised Brans--Dicke model in flat FRW cosmology. In a new approach, a framework to study stability and attractor solutions in the phase space is developed for the model by simultaneously best fitting the stability and model parameters with the observational data. The results show that for an accelerating universe the phantom crossing does not occur in the past and near future.