Some extensions of the Einstein-Dirac equation

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dc.creatorKim, Eui Chul
dc.date2006-03-29
dc.date.accessioned2026-07-07T07:07:19Z
dc.date.available2026-07-07T07:07:19Z
dc.descriptionWe considered an extension of the standard functional for the Einstein-Dirac equation where the Dirac operator is replaced by the square of the Dirac operator and a real parameter controlling the length of spinors is introduced. For one distinguished value of the parameter, the resulting Euler-Lagrange equations provide a new type of Einstein-Dirac coupling. We establish a special method for constructing global smooth solutions of a newly derived Einstein-Dirac system called the {\it CL-Einstein-Dirac equation of type II} (see Definition 3.1).
dc.description21pages
dc.identifierhttps://arxiv.org/abs/math/0603676
dc.identifierhttp://arxiv.org/abs/math/0603676
dc.identifierJ.Geom.Phys. 56 (2006) 2573-2591
dc.identifierdoi:10.1016/j.geomphys.2006.01.008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110350
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject53C25; 53C27; 83C05
dc.titleSome extensions of the Einstein-Dirac equation
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