Finster, Felix and Hainzl, Christian (2011) A spatially homogeneous and isotropic Einstein-Dirac cosmology. JOURNAL OF MATHEMATICAL PHYSICS, 52 (4): 042501. ISSN 0022-2488,
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We consider a spatially homogeneous and isotropic cosmological model where Dirac spinors are coupled to classical gravity. For the Dirac spinors we choose a Hartree-Fock ansatz where all one-particle wave functions are coherent and have the same momentum. If the scale function is large, the universe behaves like the classical Friedmann dust solution. If however the scale function is small, quantum effects lead to oscillations of the energy-momentum tensor. It is shown numerically and proven analytically that these quantum oscillations can prevent the formation of a big bang or big crunch singularity. The energy conditions are analyzed. We prove the existence of time-periodic solutions which go through an infinite number of expansion and contraction cycles. (C) 2011 American Institute of Physics. [doi:10.1063/1.3567157]
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | GRAVITATIONAL COLLAPSE; EQUATIONS; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Felix Finster |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 23 Jun 2020 04:48 |
| Last Modified: | 23 Jun 2020 04:48 |
| URI: | https://pred.uni-regensburg.de/id/eprint/20990 |
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