Finster, Felix and Hainzl, Christian (2010) Quantum Oscillations Can Prevent the Big Bang Singularity in an Einstein-Dirac Cosmology. FOUNDATIONS OF PHYSICS, 40 (1). pp. 116-124. ISSN 0015-9018, 1572-9516
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We consider a spatially homogeneous and isotropic system of Dirac particles coupled to classical gravity. The dust and radiation dominated closed Friedmann-Robertson-Walker space-times are recovered as limiting cases. We find a mechanism where quantum oscillations of the Dirac wave functions can prevent the formation of the big bang or big crunch singularity. Thus before the big crunch, the collapse of the universe is stopped by quantum effects and reversed to an expansion, so that the universe opens up entering a new era of classical behavior. Numerical examples of such space-times are given, and the dependence on various parameters is discussed. Generically, one has a collapse after a finite number of cycles. By fine-tuning the parameters we construct an example of a space-time which satisfies the dominant energy condition and is time-periodic, thus running through an infinite number of contraction and expansion cycles.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; Preventing big crunch; Dirac particles |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Felix Finster |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 17 Aug 2020 08:06 |
| Last Modified: | 17 Aug 2020 08:06 |
| URI: | https://pred.uni-regensburg.de/id/eprint/25457 |
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