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

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.

arXiv commentDedicated to the memory of professor Witold Roter

References in corpus (6)

• Algebraic classification of higher dimensional spacetimes based on null alignment
• General Kundt spacetimes in higher dimensions
• Ambient metrics for $n$-dimensional $pp$-waves
• Two-symmetric Lorentzian manifolds
• AdS-plane wave and pp-wave solutions of generic gravity theories
• On conformally recurrent manifolds of dimension greater than 4