Syied, A., Abu-Donia, H., Shenawy, S. (2023). On pseudo W_2-symmetric manifolds with applications to f(R) gravity. Bulletin of Faculty of Science, Zagazig University, 2023(2), 86-90. doi: 10.21608/bfszu.2023.177194.1211
Abdallah Syied; Hassan M. Abu-Donia; Sameh Shenawy. "On pseudo W_2-symmetric manifolds with applications to f(R) gravity". Bulletin of Faculty of Science, Zagazig University, 2023, 2, 2023, 86-90. doi: 10.21608/bfszu.2023.177194.1211
Syied, A., Abu-Donia, H., Shenawy, S. (2023). 'On pseudo W_2-symmetric manifolds with applications to f(R) gravity', Bulletin of Faculty of Science, Zagazig University, 2023(2), pp. 86-90. doi: 10.21608/bfszu.2023.177194.1211
Syied, A., Abu-Donia, H., Shenawy, S. On pseudo W_2-symmetric manifolds with applications to f(R) gravity. Bulletin of Faculty of Science, Zagazig University, 2023; 2023(2): 86-90. doi: 10.21608/bfszu.2023.177194.1211
On pseudo W_2-symmetric manifolds with applications to f(R) gravity
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.