The energy momentum tensor of the electromagnetic field [T.

The even multivector form given in the above equation can be compared to the symmetric energy momentum tensor [[THETA].

for all vector fields X, Y where S is the Ricci tensor of the type (0, 2), r is the scalar curvature, k is the gravitational constant and T is the energy momentum tensor of type (0, 2).

The energy momentum tensor T is said to describe a perfect fluid [2] if

In a Lorentzian para- Sasakian type spacetime by considering the characteristic vector field [xi] as the flow vector field of the fluid, the energy momentum tensor takes the form

In the general theory of relativity, energy momentum tensor plays an important role and the condition on energy momentum tensor for a perfect fluid space time changes the nature of space time (5).

We know an energy momentum tensor T will be covariant recurrent (6) if

So we like to define generalized covariant recurrent energy momentum tensor as follows:

ij] being the ordinary

energy momentum tensor associated to isotropic matter and radiation.

where k is the Einstein's gravitational constant, T is the

energy momentum tensor of type (0,2) given by

Although there are physical arguments for equating the Einstein tensor to the

energy momentum tensor ([G.

The

energy momentum tensor in this symmetry (and this particular case) is: