On the Exact Solution of a Space- Time Metric Conformal to Minkowskian Manifold Issue:

Abstract

A space-time metric admitting 3-parametric group of isomctrics with 2-dimensioned space-like conformal to Minkowskian space is investigated subject to perfect fluid conditions. Mongers method may play a very important technique for solving and deriving the exact solution for such physical problem. So, new general exact solutions have been derived and it may be taken as a general solution of conformally perfect fluid distributions, in addition to that, all the perfect fluid distributions with variable and constant energy density have been derived.