Killing spinor initial data sets

Details Killing spinor initial data sets Killing spinor initial data sets

2007-12-20

arxiv.org/abs/0712.3373v1

J.Geom.Phys.58:1186-1202,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

31 pages, submitted to J. Geom. Phys

Scientific paper

10.1016/j.geomphys.2008.04.003

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.

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