Article
Kyungpook Mathematical Journal 2020; 60(1): 185-195
Published online March 31, 2020
Copyright © Kyungpook Mathematical Journal.
The W∗-curvature Tensor on Relativistic Space-times
Hassan Abu-Donia, Sameh Shenawy∗, Abdallah Abdelhameed Syied
Department of Mathematics, Faculty of Science, Zagazig University, Egypt
e-mail : 이메일donia_1000@yahoo.com
Basic Science Department, Modern Academy for Engineering and Technology, Maadi, Egypt
e-mail : drshenawy@mail.com and drssshenawy@eng.modern-academy.edu.eg
Department of Mathematics, Faculty of Science, Zagazig University, Egypt
e-mail : a.a_syied@yahoo.com
Received: June 10, 2019; Revised: November 13, 2019; Accepted: November 25, 2019
This paper aims to study the 
–curvature tensor on relativistic space-times. The energy-momentum tensor 
–curvature tensor is semi-symmetric, whereas the whereas the energy-momentum tensor –curvature tensor is of Codazzi type. A space-time having a traceless –curvature tensor is Einstein. A –curvature flat space-time is Einstein. Perfect fluid space-times which admits –curvature tensor are considered.
Keywords: Einstein&rsquo,s field equation, perfect fluid space-times, energymomentum tensor, semi-symmetric curvature tensor