Killing spinor initial data sets
General Relativity and Quantum Cosmology
2008-11-26 v1 Mathematical Physics
math.MP
Abstract
A 3+1 decomposition of the twistor and valence-2 Killing spinor equation is made using the space spinor formalism. Conditions on initial data sets for the Einstein vacuum equations are given so that their developments contain solutions to the twistor and/or Killing equations. These lead to the notions of twistor and Killing spinor initial data. These notions are used to obtain a characterisation of initial data sets whose development are of Petrov type N or D.
Keywords
Cite
@article{arxiv.0712.3373,
title = {Killing spinor initial data sets},
author = {Alfonso García-Parrado Gómez-Lobo and Juan A. Valiente Kroon},
journal= {arXiv preprint arXiv:0712.3373},
year = {2008}
}
Comments
31 pages, submitted to J. Geom. Phys