Self-similar solutions of Bianchi type iii space-times using partial differential equations

Abstract EN

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.