Petrov type I spacetime curvature: principal null vector spanning dimension
General Relativity and Quantum Cosmology
2023-02-08 v3
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.
Keywords
Cite
@article{arxiv.2111.01283,
title = {Petrov type I spacetime curvature: principal null vector spanning dimension},
author = {Donato Bini and Andrea Geralico and Robert T. Jantzen},
journal= {arXiv preprint arXiv:2111.01283},
year = {2023}
}
Comments
v1: 16 pages; v2: 21 pages, references added, discussion expanded; v3: 21 pages, final version matching the published one