Huygens' principle for the spin-1/2 particle in spacetime of non-constant curvature
Abstract
In this article we give sufficient and necessary conditions for the validity of the Huygens' principle for the Dirac operator in the non-constant curvature spacetime of the Friedmann-Lema\itre-Robertson-Walker models of cosmology. The Huygens' principle discussed for the equation of a particle with mass m=0 as well as a massive spin-1/2 particle (field) undergoing a red shift of its wavelength as the universe expands.
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