Classification of Kantowski-Sachs and Bianchi Type III space-times according to their proper conformal vector fields

TL;DR

This paper classifies certain cosmological space-times by identifying specific conformal symmetries using direct integration, revealing special classes that admit these symmetries.

Contribution

It provides a novel classification of Kantowski-Sachs and Bianchi type III space-times based on their proper conformal vector fields.

Findings

Certain classes admit proper conformal vector fields

Identification of special classes with conformal symmetries

Use of direct integration technique for classification

Abstract

We investigate proper conformal vector fields in non conformally flat Kantowski-Sachs and Bianchi type III space-times using direct integration technique. Using the above mentioned technique we show that very special classes of the above space-times admit proper conformal vector fields.