Large Dynamical System Analysis for Anisotropic Universe in Brans-Dicke Theory

TL;DR

This paper analyzes the dynamics of anisotropic cosmological models within Brans-Dicke theory, identifying critical points and stability across various universe phases to understand their evolution.

Contribution

It introduces a three-dimensional dynamical system for anisotropic Brans-Dicke cosmology with a scalar field and potential, analyzing stability in different cosmic phases.

Findings

Critical points identified for radiation, dust, dark energy, and phantom phases.

Stability properties of these points analyzed.

Provides insights into anisotropic universe evolution in Brans-Dicke theory.

Abstract

In this work, we have studied the Brans-Dicke (BD) cosmology in anisotropic models. We present three dimensional dynamical system describing the evolution of anisotropic models containing perfect fluid and BD scalar field with self-interacting potential. The relevant equations have been transformed into the dynamical system. The critical points and the corresponding eigen values have been found in radiation, dust, dark energy, $\Lambda$CDM and phantom phases of the universe. The natures and the stability around the critical points have also been investigated.