The Z=(t/z) Type Plane Gravitational Waves of Gauge Invariant Generalized Field Equations with Asymmetric Fundamental Tensor in Plane Symmetry

摘要

In a previous paper Bhoyar and Deshmukh [15] have found the wave solutions of both the weak and strong, non-symmetric unified field equations of Einstein, Bonner and Schrodinger in a plane symmetric space-time for Z= (t/z)-type plane gravitational waves. In this paper, the solutions of plane gravitational waves in Buchdahl's [Q.J.Math.8,89,(1957) and 9,257,(1958)] field theories have been investigated by authors in plane symmetry which was studied and defined by Taub [4]. It has been exhibited that under certain conditions solutions of gauge invariant generalized field equations exist in plane symmetry.