An attempt has been taken to investigate the problem of general viscous fluid distribution in the space-time governed by the metric $ds^2=dt^2-dx^2-dy^2+f(t-x,y,z)(dt-dx)^2$ in both the theories of gravitation proposed by Einstein (1915) and Barber (1982), It is observed that in both the theories the field equations are reducible to Laplace equation and viscous fluid distribution does not survive. Moreover, the vacuum models can be constructed by an arbitrary harmonic function in $y$ and $z$ coordinates and the solutions governing the models represent plane gravitational wave propagating in positive $x$-direction.