Stability Analysis of DGP Brane-world Model with Agegraphic Dark Energy

TL;DR

This paper applies dynamical system methods to analyze the stability of the DGP brane-world model with agegraphic dark energy, revealing insights into its critical points, deviations from ΛCDM, and alleviation of the coincidence problem.

Contribution

It introduces a stability analysis of the DGP brane-world with agegraphic dark energy using phase plane and eigenvalue methods, highlighting its differences from standard cosmology.

Findings

Identification of stable and unstable critical points.

Deviations from ΛCDM model shown by statefinder diagnostics.

Significant alleviation of the coincidence problem.

Abstract

The aim of this work is to apply the dynamical system approach to study the linear dynamics of the normal DGP brane-world model with agegraphic dark energy. The stability analysis of the model will be investigated and the phase plane portrait will be illustrated. The nature of critical points will be analyzed by evaluating the eigenvalues of a linearized Jacobi matrix. Also, the statefinder diagnostic procedure will be applied to show the slight deviation from the {\Lambda}CDM model. One of the most interesting results of this work is the great alleviation of the coincidence problem.