Stability analysis of DGP brane-world model with agegraphic dark energy

2018/10/31 by Arvin Ravanpak, A. Ravanpak, Golnaz Farpour Fadakar +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Dark energy #Eigenvalues and eigenvectors #Phase (matter) #Phase plane #Phase portrait #Plane (geometry) #Stability (learning theory) #Statistical Mechanics and Entropy #Work (physics) #gr-qc

paper · pdf · doi:10.1139/cjp-2019-0305

published as Can. J. Phys. 98, 778 (2020)

openalex created_date 2018/10/26 · openalex publication_date 2020/07/24 · arxiv created 2020/09/30 · arxiv updated 2020/10/07 · openalex updated_date 2026/08/05

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 of our model from the ΛCDM model. One of the most interesting results of this work is the great alleviation of the coincidence problem.

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