Petrov type I spacetime curvature: principal null vector spanning dimension

Authors :: Bini, Donato
Geralico, Andrea
Jantzen, Robert T.
Source :: International Journal of Geometric Methods in Modern Physics (2023) 2350087
Publication Year :: 2021
Abstract: The class of Petrov type I curvature tensors is further divided into those for which the span of the set of distinct principal null directions has dimension four (maximally spanning type I) or dimension three (nonmaximally spanning type I). Explicit examples are provided for both vacuum and nonvacuum spacetimes.<br />Comment: v1: 16 pages; v2: 21 pages, references added, discussion expanded; v3: 21 pages, final version matching the published one

Database :: arXiv
Journal :: International Journal of Geometric Methods in Modern Physics (2023) 2350087
Publication Type :: Report
Accession number :: edsarx.2111.01283
Document Type :: Working Paper
Full Text :: https://doi.org/10.1142/S0219887823500871