Killing Initial Data on spacelike conformal boundaries
نویسندگان
چکیده
منابع مشابه
Killing Initial Data
We study space–time Killing vectors in terms of their “lapse and shift” relative to some spacelike slice. We give a necessary and sufficient condition in order for these lapse-shift pairs, which we call Killing ∗Supported by Fonds zur Förderung der wissenschaftlichen Forschung, Project P9376– PHY. E–mail: [email protected] †On leave of absence from the Institute of Mathematics, Polish Acade...
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Koutras has proposed some methods to construct reducible proper conformal Killing tensors and Killing tensors (which are, in general, irreducible) when a pair of orthogonal conformal Killing vectors exist in a given space. We give the completely general result demonstrating that this severe restriction of orthogonality is unnecessary. In addition we correct and extend some results concerning Ki...
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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 characterisatio...
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Some years ago Koutras presented a method of constructing a conformal Killing tensor from a pair of orthogonal conformal Killing vectors. When the vector associated with the conformal Killing tensor is a gradient, a Killing tensor (in general irreducible) can then be constructed. In this paper it is shown that the severe restriction of orthogonality is unnecessary and thus it is possible that m...
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S. Brian EDGAR †, Rafaelle RANI ‡ and Alan BARNES § † Department of Mathematics, Linköping University, Linköping, Sweden S581-83 E-mail: [email protected] ‡ Institute of Astronomy and Astrophysics, Department of Theoretical Astrophysics, University of Tübingen, D-72076 Tübingen, Germany E-mail: [email protected] § School of Engineering & Applied Science, Aston University, Birmingh...
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2016
ISSN: 0393-0440
DOI: 10.1016/j.geomphys.2016.03.005