Gravito-magnetic vacuum spacetimes: kinematic restrictions
General Relativity and Quantum Cosmology
2009-11-10 v1
Abstract
We show that there are no vacuum solutions with a purely magnetic Weyl tensor with respect to an observer submitted to kinematic restrictions involving first order differential scalars. This result generalizes previous ones for the vorticity-free and shear-free cases. We use a covariant approach which makes evident that only the Bianchi identities are used and, consequently, the results are also valid for non vacuum solutions with vanishing Cotton tensor.
Cite
@article{arxiv.gr-qc/0303049,
title = {Gravito-magnetic vacuum spacetimes: kinematic restrictions},
author = {J. J. Ferrando and J. A. Saez},
journal= {arXiv preprint arXiv:gr-qc/0303049},
year = {2009}
}
Comments
6 pages, 0 figures