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A dark energy quintessence model of the universe

Department of Mathematics, Kalyan P. G. College, Bhilai 490 006, Chhattisgarh, India

Corresponding author.

Department of Mathematics, Institute of Applied Sciences and Humanities, GLA University, Mathura 281406, Uttar Pradesh, India

E-mail Address: pradhan.anirudh@gmail.com

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, and

A. Beesham

Department of Mathematical Sciences, University of Zululand, Kwa-Dlangezwa 3886, South Africa

E-mail Address: beeshama@unizulu.ac.za

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https://doi.org/10.1142/S0217732320500029Cited by:12 (Source: Crossref)

Abstract

In this paper, we have presented a model of the Friedmann–Lemaitre–Robertson–Walker (FLRW) universe filled with matter and dark energy (DE) fluids by assuming an ansatz that deceleration parameter (DP) is a linear function of the Hubble constant. This results in a time-dependent DP having decelerating–accelerating transition phase of the universe. This is a quintessence model $ω_{(d e)} \geq - 1$ . The quintessence phase remains for the period $(0 \leq z \leq 0.5806)$ . The model is shown to satisfy current observational constraints. Various cosmological parameters relating to the history of the universe have been investigated.

Keywords:

PACS: 98.80.-k

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