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A dynamical system analysis of non-interacting cold dark matter and dark energy at perturbative level

Soumya Chakraborty

https://orcid.org/0000-0002-1551-7526

Department of Mathematics, Jadavpur University, Kolkata 700032, West Bengal, India

E-mail Address: soumyachakraborty150@gmail.com

E-mail Address: soumyac.math.rs@jadavpuruniversity.in

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Sudip Mishra

https://orcid.org/0000-0003-2519-8984

Department of Applied Mathematics, Maulana Abul Kalam Azad University of Technology, Kolkata-700064 and Haringhata, Nadia-741249 (main campus), West Bengal, India

E-mail Address: sudipcmiiitmath@gmail.com

Corresponding author.

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, and

Subenoy Chakraborty

https://orcid.org/0000-0002-3881-8022

Department of Mathematics, Jadavpur University, Kolkata 700032, West Bengal, India

E-mail Address: schakraborty.math@gmail.com

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https://doi.org/10.1142/S0217732324501451Cited by:0 (Source: Crossref)

Abstract

This work deals with a cosmological model consisting of cold dark matter and dark energy without any interaction. The study has been done both at the background level and at the perturbative level for the homogeneous and isotropic FLRW spacetime. By suitable transformation of the variables, the cosmic evolution equations are converted into an autonomous system. A discrete dynamical system analysis has been employed for cosmic inferences.

Keywords:

PACS: 98.80.Cq, 98.80.–k, 95.35.+d, 95.36.+x, 05.70.Fh, 05.45.–a, 02.10.Ud, 02.40.Vh

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