On pseudo W_2-symmetric manifolds with applications to f(R) gravity | ||||
| Bulletin of Faculty of Science, Zagazig University | ||||
| Article 9, Volume 2023, Issue 2, June 2023, Page 86-90 PDF (914.63 K) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/bfszu.2023.177194.1211 | ||||
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| Authors | ||||
Abdallah Syied  1; Hassan M. Abu-Donia2; Sameh Shenawy3
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| 1Mathematics department, faculty of science, Zagazig university | ||||
| 2Department of Mathematics, Faculty of Science, Zagazig University, Zagazig 44519, Egypt | ||||
| 3Basic Science Department, Modern Academy for Engineering and Technology, Maadi, Egypt, | ||||
| Abstract | ||||
| In this article, we define new kind of manifolds, namely pseudo W_2-symmetric manifolds. We first focus on studying the geometric properties of pseudo W_2-symmetric manifold. Pseudo W_2-symmetric spacetimes and Pseudo W_2-symmetric perfect fluid space-times in f(R) theory of gravity are invesitgated. We get in this case the form of the isotropic pressure p. Also, the form of energy density σ is obtained. As final point of study, some energy conditions are studied. The above mentioned studies and many others give us a great motivation to study the geometric properties of pseudo W_2-symmetric manifold and consider Pseudo W_2-symmetric spacetimes and Pseudo W_2-symmetric perfect fluid space-times in f(R) theory of gravity. We organized this article as follows. I section 1, geometric properties of this manifold are considered. In section 2, general properties of pseudo W_2-symmetric manifold are considered. Next, pseudo W_2-symmetric spacetime and pseudo W_2-symmetric perfect fluid spacetime in f(R) gravity are investigated. | ||||
| Keywords | ||||
| W_2-curvature tensor; Modified theories of gravity; energy conditions in f(R) modified gravity theory | ||||
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