Energy conditions for a (WRS)(4) spacetime in F(R)-gravity
Document Type
Article
Publication Date
2-16-2021
Abstract
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.
Keywords
Energy conditions, (WRS)(4), F(R)-gravity
Divisions
MathematicalSciences
Publication Title
European Physical Journal Plus
Volume
136
Issue
2
Publisher
Springer Heidelberg
Publisher Location
TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY