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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Springer Heidelberg
2021
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my.um.eprints.264882022-03-08T03:11:45Z http://eprints.um.edu.my/26488/ Energy conditions for a (WRS)(4) spacetime in F(R)-gravity De, Avik Loo, Tee-How Arora, Simran Sahoo, P. K. QA Mathematics 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. Springer Heidelberg 2021-02-16 Article PeerReviewed 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 https://doi.org/10.1140/epjp/s13360-021-01216-2 <https://doi.org/10.1140/epjp/s13360-021-01216-2>. 10.1140/epjp/s13360-021-01216-2 |
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UM Library |
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Institutional Repository |
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Universiti Malaya |
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http://eprints.um.edu.my/ |
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QA Mathematics |
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QA Mathematics De, Avik Loo, Tee-How Arora, Simran Sahoo, P. K. Energy conditions for a (WRS)(4) spacetime in F(R)-gravity |
| description |
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. |
| format |
Article |
| author |
De, Avik Loo, Tee-How Arora, Simran Sahoo, P. K. |
| author_facet |
De, Avik Loo, Tee-How Arora, Simran Sahoo, P. K. |
| author_sort |
De, Avik |
| title |
Energy conditions for a (WRS)(4) spacetime in F(R)-gravity |
| title_short |
Energy conditions for a (WRS)(4) spacetime in F(R)-gravity |
| title_full |
Energy conditions for a (WRS)(4) spacetime in F(R)-gravity |
| title_fullStr |
Energy conditions for a (WRS)(4) spacetime in F(R)-gravity |
| title_full_unstemmed |
Energy conditions for a (WRS)(4) spacetime in F(R)-gravity |
| title_sort |
energy conditions for a (wrs)(4) spacetime in f(r)-gravity |
| publisher |
Springer Heidelberg |
| publishDate |
2021 |
| url |
http://eprints.um.edu.my/26488/ |
| _version_ |
1735409419289624576 |
| score |
13.251813 |