Self-Similar Solutions of Bianchi Type iii Space-Times Using Partial Differential Equations

Abstract

A different approach is developed to study self-similar solutions in Bianchi type III spacetimes. Self-similar solutions in both tilted and non tilted cases are obtained. By solving a system of six non linear and inhomogeneous partial differential equations. It is shown that in non-tilted case the above space-times admit orthogonal zeroth kind self-similarity and in tilted case. It admits second and infinite kind self-similarities