Coupling Einstein's equations to Dirac spinors can prevent the big bang/crunch singularity in the Friedmann model

Coupling Einstein's equations to Dirac spinors can prevent the big bang/crunch singularity in the Friedmann model

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Christian Hainzl, University of Alabama, Birmingham
Jadwin Hall 343

We consider a spatially homogeneous and isotropic system of Dirac particles coupled to classical gravity. We recover, on the one hand, the dust and radiation dominated closed Friedmann-Robertson-Walker space-times. On the other hand, we find particular solutions where the oscillations of the Dirac spinors prevent the formation of the big bang or big crunch singularity. This is joint work with F. Finster.