Zero-Mass Scalar Field with Interacting and Non-interacting Two Fluids in f (R, T) Gravity

Kalpana Pawar¹ , N.T. Katre²

1. Department of Mathematics, Shivaji Science College, Nagpur, Dist. Nagpur (M.S.), India.
2. Department of Mathematics, Nabira Mahavidyalaya, Katol, Dist. Nagpur (M.S.), India.

Section:Research Paper, Product Type: Journal-Paper
Vol.11 , Issue.5 , pp.1-18, Oct-2023

Online published on Oct 31, 2023

Copyright © Kalpana Pawar, N.T. Katre . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
This paper deals with the investigation of an accelerated expansion of a spatially homogeneous and isotropic flat Friedman-Lemaitre-Robertson-Walker (FLRW) universe in presence of zero-mass scalar fields associated with non-interacting and interacting barotropic fluid and dark energy in the framework of f (R, T) gravity. The exact solutions to the field equations have been obtained in two cases: power law and exponential law of volumetric expansion. Some physical and geometrical properties have been investigated for both power and exponential law models in non-interacting and interacting cases; in particular, the energy conditions and density parameters. The physical stability of the derived cosmological models has also been examined. We find that the models with exponential volumetric expansion are open, have accelerating expansion and physically stable; while, the models with power law volumetric expansion are open in both accelerating and decelerating cases, but physically stable and unstable in decelerating and accelerating case respectively.

Key-Words / Index Term :
FLRW space-time, f (R, T) gravity, Dark Energy, Zero-mass scalar field, Interacting and Non-interacting, Physical stability.

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