Doubly Torqued Vectors and a classification of Doubly Twisted and Kundt spacetimes
General Relativity and Quantum Cosmology
2021-05-04 v2 Differential Geometry
Abstract
The simple structure of doubly torqued vectors allows for a natural characterization of doubly twisted down to warped spacetimes, as well as Kundt spacetimes down to PP waves. For the first ones the vectors are timelike, for the others they are null. We also discuss some properties, and their connection to hypersurface orthogonal conformal Killing vectors, and null Killing vectors.
Keywords
Cite
@article{arxiv.2102.01555,
title = {Doubly Torqued Vectors and a classification of Doubly Twisted and Kundt spacetimes},
author = {Carlo Alberto Mantica and Luca Guido Molinari},
journal= {arXiv preprint arXiv:2102.01555},
year = {2021}
}
Comments
9 pages, 3 tables. Equation in text (3 lines below table 2) has been corrected