Sunday, February 10, 2013

0901.0602 (Felix Finster et al.)

The Dirac Equation and the Normalization of its Solutions in a Closed
Friedmann-Robertson-Walker Universe

Felix Finster, Moritz Reintjes
We set up the Dirac equation in a Friedmann-Robertson-Walker geometry and separate the spatial and time variables. In the case of a closed universe, the spatial dependence is solved explicitly, giving rise to a discrete set of solutions. We compute the probability integral and analyze a space-time normalization integral. This analysis allows us to introduce the fermionic projector in a closed Friedmann-Robertson-Walker geometry and to specify its global normalization as well as its local form.
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