Killing spinor initial data sets

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
31 pages, submitted to J. Geom. Phys

Keywords

General Relativity and Quantum Cosmology, Mathematical Physics

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/205023

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0712.3373
 http://arxiv.org/abs/0712.3373
 J.Geom.Phys.58:1186-1202,2008
 doi:10.1016/j.geomphys.2008.04.003

Collections

arXiv