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Spacetimes with Semisymmetric Energy-Momentum Tensor
U C DE, L VELIMIROVIć
Published in Springer New York LLC
2015
Volume: 54
   
Issue: 6
Pages: 1779 - 1783
Abstract
The object of the present paper is to introduce spacetimes with semisymmetric energy-momentum tensor. At first we consider the relation R(X,Y)⋅T=0, that is, the energy-momentum tensor T of type (0,2) is semisymmetric. It is shown that in a general relativistic spacetime if the energy-momentum tensor is semisymmetric, then the spacetime is also Ricci semisymmetric and the converse is also true. Next we characterize the perfect fluid spacetime with semisymmetric energy-momentum tensor. Then, we consider conformally flat spacetime with semisymmetric energy-momentum tensor. Finally, we cited some examples of spacetimes admitting semisymmetric energy-momentum tensor. © 2014, Springer Science+Business Media New York.
About the journal
JournalData powered by TypesetInternational Journal of Theoretical Physics
PublisherData powered by TypesetSpringer New York LLC
ISSN0020-7748