The Dirac equation in the Robertson-Walker space-time.

Details The Dirac equation in the Robertson-Walker space-time. The Dirac equation in the Robertson-Walker space-time.

Feb 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996jmp....37..874z&link_type=abstract

Journal of Mathematical Physics, Vol. 37, No. 2, p. 874 - 879

Mathematics

Mathematical Physics

16

Universe: Robertson-Walker Metric

Scientific paper

The Dirac equation is considered, via the Newman-Penrose formalism, in the context of the Robertson-Walker geometry. The solution of the equation, which contrary to the neutrino case is not directly separable, is reduced to the study of decoupled spatial and temporal equations. The spatial equations are explicitly integrated and show the existence of discrete energy levels in case of closed universe. Besides the neutrino, the time equation is discussed in limiting situations of the standard cosmology.

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