Separation of variables and exact solution to Dirac and Weyl equations in Robertson-Walker space-times.

Details Separation of variables and exact solution to Dirac and Weyl equations in Robertson-Walker space-times. Separation of variables and exact solution to Dirac and Weyl equations in Robertson-Walker space-times.

Mar 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990jmp....31..715v&link_type=abstract

Journal of Mathematical Physics, Vol. 31, No. 3, p. 715 - 720

Mathematics

Logic

39

Cosmological Models

Scientific paper

In this paper the separation of variables is presented in the Dirac equation in open, flat, and closed expanding cosmological Robertson-Walker universes. The equations governing the radial variable and the evolution of the time-dependent factor are obtained. An exact solution to the Weyl equation is derived for an arbitrary expansion factor of the Robertson-Walker metrics. An exact solution to Dirac equation in a universe filled with radiation is also presented.

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