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Killing spinor initial data sets
Linköping University, Department of Mathematics. Linköping University, The Institute of Technology.
Valiente Kroon, J.A., School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, London, E1 4NS, United Kingdom.
2008 (English)In: Journal of Geometry and Physics, ISSN 0393-0440, E-ISSN 1879-1662, Vol. 58, no 9, 1186-1202 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2008. Vol. 58, no 9, 1186-1202 p.
Keyword [en]
Cauchy problem, General relativity, Petrov type, Spinor calculus
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-50442DOI: 10.1016/j.geomphys.2008.04.003OAI: oai:DiVA.org:liu-50442DiVA: diva2:271338
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2017-12-12

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