Scalar and Neutrino Fields in the Gödel Universe

Details Scalar and Neutrino Fields in the Gödel Universe Scalar and Neutrino Fields in the Gödel Universe

Aug 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982ijtp...21..703l&link_type=abstract

International Journal of Theoretical Physics, Volume 21, Issue 8-9, pp. 703-753

Physics

14

Scientific paper

Some properties of the Gödel universe are demonstrated, such as closed timelike lines, and new coordinates are found. The scalar and neutrino field equations are solved and the eigenvalue spectra are calculated. The scalar field has a discrete spectrum, but the neutrino field has, in addition, a continuous spectrum due to the coupling of neutrino spin and rotation in the Gōdel universe. The mode solutions do not form a complete set for either the scalar or neutrino fields; therefore, a quantum field theory cannot be constructed in the usual manner.

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