A simple characterization of doubly twisted spacetimes
General Relativity and Quantum Cosmology
2021-02-17 v2 Differential Geometry
Abstract
In this note we characterize 1+n doubly twisted spacetimes in terms of `doubly torqued' vector fields. They extend Bang-Yen Chen's characterization of twisted and generalized Robertson-Walker spacetimes with torqued and concircular vector fields. The result is a simple classification of 1+n doubly-twisted, doubly-warped, twisted and generalized Robertson-Walker spacetimes.
Keywords
Cite
@article{arxiv.2101.02208,
title = {A simple characterization of doubly twisted spacetimes},
author = {Carlo Alberto Mantica and Luca Guido Molinari},
journal= {arXiv preprint arXiv:2101.02208},
year = {2021}
}
Comments
6 pages. Theorem 2.2 improved (doubly warped spacetimes)