In the first part of the article, the definition of pseudo-symmetric spacetime is given. In the second part, the conditions under which a four-dimensional pseudo-symmetric spacetime has Riemann compatible and Weyl compatible vector fields are obtained, and the spacetime is examined considering the case that this spacetime is a generalized Robertson-Walker spacetime. In the third part of the article, some investigations on four-dimensional pseudo-symmetric spacetimes admitting F(R)-gravity are made.
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Univ Tunku Abdul Rahman, Dept Math & Actuarial Sci, Jalan Sungai Long, Cheras 43000, MalaysiaUniv Tunku Abdul Rahman, Dept Math & Actuarial Sci, Jalan Sungai Long, Cheras 43000, Malaysia
De, Avik
Arora, Simran
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Birla Inst Technol & Sci Pilani, Dept Math, Hyderabad Campus, Hyderabad 500078, IndiaUniv Tunku Abdul Rahman, Dept Math & Actuarial Sci, Jalan Sungai Long, Cheras 43000, Malaysia
Arora, Simran
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De, Uday Chand
Sahoo, P. K.
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Birla Inst Technol & Sci Pilani, Dept Math, Hyderabad Campus, Hyderabad 500078, IndiaUniv Tunku Abdul Rahman, Dept Math & Actuarial Sci, Jalan Sungai Long, Cheras 43000, Malaysia
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Kyungpook Natl Univ, Dept Math, Daegu 41566, South Korea
Kyungpook Natl Univ, RIRCM, Daegu 41566, South KoreaKyungpook Natl Univ, Dept Math, Daegu 41566, South Korea
Suh, Young Jin
De, Krishnendu
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Univ Burdwan, Dept Math, Kabi Sukanta Mahavidyalaya, PO Angus, Hooghly 712221, West Bengal, IndiaKyungpook Natl Univ, Dept Math, Daegu 41566, South Korea
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Univ Burdwan, Dept Math, Kabi Sukanta Mahavidyalaya, PO Angus, Bhadreswar 712221, West Bengal, IndiaUniv Calcutta, Dept Pure Math, 35 Ballygunge Circular Rd, Kolkata 700019, West Bengal, India
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Department of Pure Mathematics, University of Calcutta, West Bengal, IndiaDepartment of Pure Mathematics, University of Calcutta, West Bengal, India
De, Uday Chand
Shenawy, Sameh
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Basic Science Department, Modern Academy for Engineering and Technology, Maadi, EgyptDepartment of Pure Mathematics, University of Calcutta, West Bengal, India
Shenawy, Sameh
Abu-Donia, H.M.
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Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, EgyptDepartment of Pure Mathematics, University of Calcutta, West Bengal, India
Abu-Donia, H.M.
Turki, Nasser Bin
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Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi ArabiaDepartment of Pure Mathematics, University of Calcutta, West Bengal, India
Turki, Nasser Bin
Alsaeed, Suliman
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Applied Science College, Department of Mathematical Sciences, Umm Al-Qura University, Makkah, Saudi ArabiaDepartment of Pure Mathematics, University of Calcutta, West Bengal, India
Alsaeed, Suliman
Syied, Abdallah Abdelhameed
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Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, EgyptDepartment of Pure Mathematics, University of Calcutta, West Bengal, India