Impact of curvature based geometric constraints on F(R) theory

Loo, Tee How and De, Avik and Arora, Simran and Sahoo, P. K. (2022) Impact of curvature based geometric constraints on F(R) theory. The European Physical Journal C, 82 (8). ISSN 1434-6044, DOI

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Theories of gravity are fundamentally a relation between matter and the geometric structure of the underlying spacetime. So once we put some additional restrictions on the spacetime geometry, the theory of gravity is bound to get the impact, irrespective of whether it is general relativity or the modified theories of gravity. In the present article, we consider two curvature-based constraints, namely the almost pseudo-Ricci symmetric and weakly Ricci symmetric condition. As a novel result, such spacetimes with non-null associated vectors are entirely classified, and then applying the obtained results, we investigate these spacetimes as solutions of the F(R)-gravity theory. The modified Friedmann equations are derived and analysed in a model-independent way first. Finally, two F(R) gravity models are examined for recent observational constrained values of the deceleration, jerk, and Hubble parameters. We further discuss the behavior of energy conditions.

Item Type: Article
Funders: FRGS Grant (Grant No: FRGS/1/2021/STG06/UTAR/02/1), Council of Scientific & Industrial Research (CSIR) - India (Grant No: 03(1454)/19/EMR-II)
Uncontrolled Keywords: Energy Conditions; Acceleration; Gravity; Matter
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Institute of Mathematical Sciences
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 03 Nov 2023 06:29
Last Modified: 03 Nov 2023 06:29

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