Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894460 | Journal of Geometry and Physics | 2008 | 17 Pages |
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 developments are of Petrov type N or D.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Alfonso GarcÃa-Parrado Gómez-Lobo, Juan A. Valiente Kroon,