1995 (IPP)
Permanent URI for this collectionhttp://localhost:4000/handle/11007/2812
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Item Plane symmetric perfect fluid distributions admitting a one-parameter- group of conformal motion(2015-01-27) Prasad, S.S.; Pandey, U.S.Some 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 pressure