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arXiv · 0901.0602

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

Felix Finster·Moritz Reintjes
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Abstract

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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Felix Finster, Moritz Reintjes. 2013-02-06. The Dirac Equation and the Normalization of its Solutions in a Closed Friedmann-Robertson-Walker Universe. https://doi.org/10.1088/0264-9381%2F26%2F10%2F105021

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