https://doi.org/10.1140/epjp/s13360-024-05091-5
Regular Article
Cosmic dynamics with late-time constraints on the parametric deceleration parameter model
1
Department of Mathematics, Visvesvaraya National Institute of Technology, 440010, Nagpur, Maharashtra, India
2
Department of Applied Mathematics, Shri Ramdeobaba College of Engineering and Management, Nagpur, India
3
Centre for Cosmology, Astrophysics and Space Science, GLA University, 281406, Mathura, Uttar Pradesh, India
Received:
16
June
2023
Accepted:
14
March
2024
Published online:
25
March
2024
We investigate the evolution of a flat Friedmann–Lemaitre–Robertson–Walker (FLRW) model equipped with the matter content induced by the fluid having equation of state depending on the parametric deceleration parameter. We reconstruct the universe which is composed of the dark energy and the non-relativistic matter. The universe transits from the decelerated phase dominated by the non-relativistic matter into an accelerated phase dominated by the dark energy. We single out the physically reasonable cases by checking the compatibility of the model to the observations. The model parameters are constrained by 
minimization technique. Based on the best fit values of the model parameters, evolution of the equation of state parameter, energy density, cosmographic parameters along with the role of the energy conditions are investigated in detail. The phantom dominated evolution may be realized during the future in reconstructed universe having the present age compatible with the model dependent estimates and the 
cold dark matter model, subjected to the best fit values of the model parameters. And, the universe may lead to the little-rip singularity as 
in the remote future.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
