Mathematics – Differential Geometry
Scientific paper
2006-03-29
J.Geom.Phys. 56 (2006) 2573-2591
Mathematics
Differential Geometry
21pages
Scientific paper
10.1016/j.geomphys.2006.01.008
We 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).
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