https://doi.org/10.1140/epjp/s13360-023-03970-x
Regular Article
Impact of quasi-conformal curvature tensor in spacetimes and 
-gravity
1
Department of Pure Mathematics, University of Calcutta, 35 Ballygunge Circular Road, 700019, Kolkata, West Bengal, India
2
Department of Mathematics, University of Kalyani, 741235, Kalyani, West Bengal, India
Received:
21
October
2022
Accepted:
10
April
2023
Published online:
5
May
2023
At first, we show that a quasi-conformally flat perfect fluid spacetime is a de-Sitter spacetime as well as a Robertson-Walker spacetime. We study this spacetime as a solution of -gravity theory, and obtain a relation among snap, jerk, and deceleration parameters using flat Friedmann-Robertson-Walker metric. Several energy conditions in terms of Ricci scalar are investigated with the models 
, 
and 
. For these models, the weak, null and dominant energy conditions are satisfied while the strong energy condition is violated, which is a good agreement with the recent observational studies which reveals that the current Universe is in accelerating phase.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. 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.
