Mathematics – Logic
Scientific paper
Oct 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976phdt........27m&link_type=abstract
Ph.D. Thesis Temple Univ., Philadelphia, PA.
Mathematics
Logic
1
Cosmology, Dirac Equation, Gravitational Fields, Neutrinos, Differential Equations, Dyadics, Spatial Distribution, Stress Tensors
Scientific paper
The gravitational field of a single neutrino is investigated in spacetimes which possess the symmetries of spatially homogenous cosmologies. The role of the single neutrino theory within a many neutrino theory is discussed. A brief description of spatially homogenous spacetimes is presented and these spacetimes are analyzed. The Dirac equations for the neutrino and the neutrino stress-energy tensor are obtained in the cosmologic context. A differential equation for the neutrino current, which is equivalent to the Dirac equation, is found, and the neutrino stress energy tensor is expressed entirely in terms of the current and the dyadics. By requiring that the neutrino field be compatible with spatial homogeneity, the spatial dependence of the neutrino wavefunction is determined. This spatial dependence is shown to be directly related to the group structure of the different Bianchi types.
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