Killing spinor initial data sets
2008 (English)In: Journal of Geometry and Physics, ISSN 0393-0440, Vol. 58, no 9, 1186-1202 p.Article in journal (Refereed) Published
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.
Cauchy problem, General relativity, Petrov type, Spinor calculus
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-50442DOI: 10.1016/j.geomphys.2008.04.003OAI: oai:DiVA.org:liu-50442DiVA: diva2:271338