Killing spinor initial data sets

Gomez-Lobo, A.G.-P.Linköpings universitet,Matematiska institutionen,Tekniska högskolan (författare)

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.

Valiente, Kroon J.A.Valiente Kroon, J.A., School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, London, E1 4NS, United Kingdom (författare)
Linköpings universitetMatematiska institutionen (creator_code:org_t)

Ingår i:Journal of Geometry and Physics: Elsevier BV58:9, s. 1186-12020393-04401879-1662

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