2007/12/20 by Alfonso Gómez-Lobo, Alfonso García-Parrado Gómez-Lobo, Juan A. Valiente Kroon · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #gr-qc #math-ph #math.MP
paper · pdf · doi:10.1016/j.geomphys.2008.04.003
published as J.Geom.Phys.58:1186-1202,2008 · 31 pages, submitted to J. Geom. Phys
arxiv created 2007/12/20 · openalex publication_date 2008/04/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/02
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.