Prasad, S.S.Pandey, U.S.2015-01-272015-01-272015-01-27http://hdl.handle.net/11007/2832Some exact analytic solutions of Einstein's equations with perfect fluid source have been found, under the assumptions of (i) plane symmetry and (ii) the existence of a one- parameter group of conformal motions, with the generator in the hypersurface. The solutions are algebraically special (Petrov type D) and belong to class I of Wainwright classifications. They are non- static with non- vanishing shear. First of the solutions represent an expanding homogeneous distribution of matter, which evolves from a singular state at t=O. Second one is conformally fiat and represents homogeneous density, but inhomogeneous pressure distributions with shear - free motions. The last solution is inhomogeneous in density as well as pressureenSymmetric perfect fluid distributionArticle