The W-curvature tensor on relativistic space-times

Faculty Science Year: 2020
Type of Publication: ZU Hosted Pages:
Authors:
Hassan Mostafa Metwally
Journal: Kyungpook Mathematical Journal Kyungpook Mathematical Journal Volume:
Keywords : , W-curvature tensor , relativistic space-times    
Abstract:
This paper aims to study the W-curvature tensor on relativistic space-times. The energy-momentum tensor T of a space-time having a semi-symmetric W-curvature tensor is semi-symmetric, whereas the whereas the energy-momentum tensor T of a spacetime having a divergence free W-curvature tensor is of Codazzi type. A space-time having a traceless W-curvature tensor is Einstein. A W-curvature flat space-time is Einstein. Perfect fluid space-times which admits W-curvature tensor are considered.
    
     
 
       

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