Five Dimensional Plane Wave Like Solutions of Field Equations of Finzi's Non-symmetric Unfied Field Theory

Abstract

In the present  paper, we have obtained plane wave-like solutions of field equations of Finzi’s  non-symmetric unified field theory in higher five dimensional Peres space-time:

ds² = -du² – dx² – dy² – dz² + dt² -2f(u, x, y, Z)(dz – dt)² (where f = f(u, x, y, Z), (Z= z – t)).

If torsion vector Г_i = 0 then Finzi’s field equations are identical with the weak field equations of Einstein’s non-symmetric unified field theory and therefore, plane wave-like solutions obtained by Jumale (2006) using same Peres space-time in V₅ can be reproduced. Thus work carried out in this paper is a generalization of the work of Jumale (2006).