Simple conformally recurrent space-times are conformally recurrent PP-waves

TL;DR

This paper proves that in dimensions greater than three, simple conformally recurrent space-times are exactly the conformally recurrent pp-waves, establishing a precise classification within this geometric framework.

Contribution

It demonstrates the equivalence between simple conformally recurrent space-times and conformally recurrent pp-waves in higher dimensions.

Findings

Simple conformally recurrent space-times are equivalent to conformally recurrent pp-waves in dimensions n>3.

The classification clarifies the structure of conformally recurrent space-times.

The result applies specifically to space-times with dimension greater than three.

Abstract

We show that in dimension n>3 the class of simple conformally recurrent space-times coincides with the class of conformally recurrent pp-waves.