Spinor classification of the Weyl tensor in five dimensions
General Relativity and Quantum Cosmology
2010-11-30 v1 High Energy Physics - Theory
Abstract
We investigate the spinor classification of the Weyl tensor in five dimensions due to De Smet. We show that a previously overlooked reality condition reduces the number of possible types in the classification. We classify all vacuum solutions belonging to the most special algebraic type. The connection between this spinor and the tensor classification due to Coley, Milson, Pravda and Pravdov\'a is investigated and the relation between most of the types in each of the classifications is given. We show that the black ring is algebraically general in the spinor classification.
Keywords
Cite
@article{arxiv.1008.2955,
title = {Spinor classification of the Weyl tensor in five dimensions},
author = {Mahdi Godazgar},
journal= {arXiv preprint arXiv:1008.2955},
year = {2010}
}
Comments
40 pages