Phase plane analysis and statefinder diagnostic of agegraphic dark energy in 5D Brans-Dicke cosmology

TL;DR

This paper analyzes the evolution of agegraphic dark energy within 5D Brans-Dicke cosmology using phase-plane methods and observational data, providing insights into the universe's stability and evolution.

Contribution

It introduces a phase-plane analysis and statefinder diagnostic for agegraphic dark energy in 5D Brans-Dicke cosmology, combining theoretical and observational approaches.

Findings

Identifies stable critical points for the universe's evolution.

Constrains model parameters using SNe Ia data.

Provides phase-plane and statefinder diagnostics for the model.

Abstract

We present an autonomous phase-plane describing the evolution of field equations containing an agegraphic dark energy in 5D Brans- Dicke cosmology. To observationally verify the numerical results, we simultaneously solve the equations by constraining the model parameters with SNe Ia data. We find conditions for the existence and stability of the critical points (states of the universe) and numerically examine the cosmological parameters. We also investigate the model by means of statefinder diagnostic.