Killing spinor initial data sets

• 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. © 2008 Elsevier B.V. All rights reserved.

Nyckelord

Cauchy problem

General relativity

Petrov type

Spinor calculus

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