Generalized Robertson-Walker Space-Times with W1-Curvature Tensor

Review Article

Sudhakar K Chaubey


The fluid space-times carrying a W1 -curvature tensor are studied. It is proved that the energy momentum tensor of the space-time is of Codazzi type if and only if the W1 -curvature tensor is divergence free. We also show that the pseudo Ricci symmetric space-time with divergence free W1 -curvature tensor is a GRW space-time. A necessary and sufficient condition for a perfect fluid space-time to be a GRW space-time is given.

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