Energy conditions for a (WRS)(4) spacetime in F(R)-gravity

De, Avik and Loo, Tee-How and Arora, Simran and Sahoo, P. K. (2021) Energy conditions for a (WRS)(4) spacetime in F(R)-gravity. European Physical Journal Plus, 136 (2). ISSN 2190-5444, DOI

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The objective of the present paper is to study four-dimensional weakly Ricci symmetric spacetimes (WRS)(4) with nonzero constant Ricci scalar. We prove that such a (WRS)(4) satisfying F(R)-gravity field equations represents a perfect fluid with vanishing vorticity. Some energy conditions are studied under the current setting to constrain the functional form of F(R). We examine a couple of popular toy models in F(R)-gravity, F(R) = e(alpha R) where alpha is constant and F(R) = R - beta tanh(R), beta is a constant. We also find that the equation of state parameter (EoS) in both models supports the universe's accelerating behavior, i.e., omega = -1. According to the recently suggested observations of accelerated expansion, both cases define that the null, weak, and dominant energy conditions justify their requirements while the strong energy conditions violate them.

Item Type: Article
Uncontrolled Keywords: Energy conditions; (WRS)(4); F(R)-gravity
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Institute of Mathematical Sciences
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 08 Mar 2022 03:11
Last Modified: 08 Mar 2022 03:11

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