A note on proper conformal vector fields in cylindrically symmetric static space-times

TL;DR

This paper investigates proper conformal vector fields in non-conformally flat cylindrically symmetric static space-times, demonstrating that a specific class admits such fields through direct integration methods.

Contribution

It identifies a special class of cylindrically symmetric static space-times that admit proper conformal vector fields using a direct integration approach.

Findings

A specific class admits proper conformal vector fields.

Proper conformal vector fields are characterized in these space-times.

The study advances understanding of symmetries in cylindrically symmetric static space-times.

Abstract

A study of proper conformal vector field in non conformally flat cylindrically symmetric static space-times is given by using direct integration technique. Using the above mentioned technique we have shown that a very special class of the above space-time admits proper conformal vector field.