Neutrino-generated static space-times

Details Neutrino-generated static space-times Neutrino-generated static space-times

Jan 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980ncimb..55...70d&link_type=abstract

Nuovo Cimento B, Serie 11, vol. 55B, Jan. 11, 1980, p. 70-76.

Physics

1

Dirac Equation, Einstein Equations, Gravitation Theory, Neutrinos, Relativity, Space-Time Functions, Time Dependence, Wave Functions

Scientific paper

The interaction between neutrinos and gravitation is investigated by means of exact, static solutions to the Einstein-Dirac (Weyl) equations. In order to avoid the difficulty posed by Wainwright's (1974) theorem, which states that the coupled Einstein-Dirac equations admit no nontrivial solutions in static space-times as long as the energy flux vector of the neutrino field is time-like or light-like for all observers, antiparallel neutrino beams for which the energy flux vanishes for observers at rest are assumed. The solution to the coupled equations is then obtained easily in a simple form, with the neutrino wave functions both space and time dependent; the time dependence, however, does not appear in any of the observables. The solutions also show that the previously obtained ghost neutrino solutions appear when the neutrino wave functions do not correspond to propagating neutrino beams.

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