Conformal motions in plane symmetric static spacetimes

TL;DR

This paper investigates conformal motions in plane symmetric static spacetimes, providing general solutions for conformal Killing equations and classifying all possible conformal motions in these geometries.

Contribution

It offers the first comprehensive analysis and classification of conformal motions in plane symmetric static spacetimes, including explicit solutions for conformal Killing vectors.

Findings

Complete solutions for conformal Killing equations provided.

Classification of all possible conformal motions in these spacetimes.

Explicit form of conformal Killing vectors derived.

Abstract

In this paper, conformal motions are studied in plane symmetric static spacetimes. The general solution of conformal Killing equations and the general form of the conformal Killing vector for these spacetimes are presented. All possibilities for the existence of conformal motions in these spacetimes are exhausted.