Energy conditions for a (WRS)(4) spacetime in F(R)-gravity
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...
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| Main Authors: | , , , |
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| Format: | Article |
| Published: |
Springer Heidelberg
2021
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| Subjects: | |
| Online Access: | http://eprints.um.edu.my/26488/ |
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| Summary: | 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. |
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