Killing spinor initial data sets

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dc.creatorGómez-Lobo, Alfonso García-Parrado
dc.creatorKroon, Juan A. Valiente
dc.date2007-12-20
dc.date.accessioned2026-07-07T11:54:46Z
dc.date.available2026-07-07T11:54:46Z
dc.descriptionA 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.
dc.description31 pages, submitted to J. Geom. Phys
dc.identifierhttps://arxiv.org/abs/0712.3373
dc.identifierhttp://arxiv.org/abs/0712.3373
dc.identifierJ.Geom.Phys.58:1186-1202,2008
dc.identifierdoi:10.1016/j.geomphys.2008.04.003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205023
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.titleKilling spinor initial data sets
dc.typetext

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