A Note on the Geometry of RW Space-Times

Sameh Shenawy, Uday Chand De and Nasser Bin Turki ()
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Sameh Shenawy: Basic Science Department, Modern Academy for Engineering and Technology, Maadi 11585, Egypt
Uday Chand De: Department of Pure Mathematics, University of Calcutta 35, Ballygaunge Circular Road, Kolkata 700019, West Bengal, India
Nasser Bin Turki: Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Mathematics, 2023, vol. 11, issue 6, 1-13

Abstract: A conformally flat GRW space-time is a perfect fluid RW space-time. In this note, we investigated the influence of many differential curvature conditions, such as the existence of recurrent and semi-symmetric curvature tensors. In each case, the form of the Ricci curvature tensor, the energy–momentum tensor, the energy density, the pressure of the fluid, and the equation of state are determined and interpreted. For example, it is demonstrated that a Ricci semi-symmetric RW space-time reduces to Einstein space-time or a Ricci recurrent RW space-time, and the perfect fluid space-time is referred to as Yang pure space-time or dark matter era.

Keywords: RW space-times; Ricci semi-symmetric; Ricci recurrent; projective curvature tensor (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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