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Dynamical analysis of anisotropic cosmological model with quadratic dark sector coupling

Centre for Interdisciplinary Mathematical Sciences, Institute of Science, Banaras Hindu University, Varanasi 221005, India

E-mail Address: rakeshraushanjha@gmail.com

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and

R. Chaubey

http://orcid.org/0000-0003-1912-6677

Centre for Interdisciplinary Mathematical Sciences, Institute of Science, Banaras Hindu University, Varanasi 221005, India

E-mail Address: yahoo_raghav@rediffmail.com

E-mail Address: rchaubey@bhu.ac.in

Corresponding author.

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https://doi.org/10.1142/S0219887819500233Cited by:8 (Source: Crossref)

Abstract

The present work deals with the dynamical evolution of LRS Bianchi type I (LRS BI) cosmological model with quadratic dark sector coupling. We investigate the phase-plane analysis of LRS BI model with dark energy, when dark energy is modeled as exponential quintessence, and is coupled to dark matter via energy exchange. The evolution of cosmological solutions are studied by using dynamical systems method. Stability and viability of the models are discussed for four different choices of quadratic dark sector coupling parameters. In each model, we have obtained a late-time accelerating fixed point (future attractor), which is not a scaling solution.

Keywords:

AMSC: 83F05, 83C05, 37N20

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