Proper Conformal Vector fields in Bianchi Type I Space-Times

TL;DR

This paper investigates the existence of proper conformal vector fields in Bianchi Type I space-times using direct integration, revealing that a special class of these space-times admits such vector fields.

Contribution

It demonstrates, through direct integration, that a particular class of non-conformally flat Bianchi Type I space-times admits proper conformal vector fields, which was not previously established.

Findings

A special class of Bianchi Type I space-times admits proper conformal vector fields.

The study uses direct integration to identify these vector fields.

Not all Bianchi Type I space-times admit proper conformal vector fields.

Abstract

Direct integration technique is used to study the proper conformal vector fields in non conformally flat Bianchi type-1 space-times. Using the above mentioned technique we have shown that a very special class of the above space-time admits proper conformal vector fields.