Spacetimes with Semisymmetric Energy-Momentum Tensor

作者：De U C^*; Velimirovic Ljubica

来源：International Journal of Theoretical Physics, 2015, 54(6): 1779-1783.

DOI：10.1007/s10773-014-2381-5

• Perfect fluid spacetime
• Einstein's field equation
• Conformally flat manifold
• Energy-momentum tensor
• Semisymmetric energy-momentum tensor

The object of the present paper is to introduce spacetimes with semisymmetric energy-momentum tensor. At first we consider the relation R(X,Y)a <...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.

• 出版日期2015-6