A spatially homogeneous and isotropic Einstein-Dirac cosmology

Es ist eine neuere Version dieses Eintrags verfügbar.

Dokumentenart:	Monographie (Working Paper)
Schriftenreihe der Universität Regensburg:	Preprintreihe der Fakultät Mathematik
Band:	3/2011
Datum:	2011
Institutionen:	Mathematik > Prof. Dr. Felix Finster
Dewey-Dezimal-Klassifikation:	500 Naturwissenschaften und Mathematik > 510 Mathematik
Status:	Eingereicht
Begutachtet:	Nein, diese Version wurde noch nicht begutachtet (bei preprints)
An der Universität Regensburg entstanden:	Ja
Dokumenten-ID:	20503

Zusammenfassung

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, ...

Zusammenfassung

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.

Details

Verfügbare Versionen dieses Eintrags

Vorschau

Bibliographische Daten exportieren

Zusammenfassung

Zusammenfassung

Downloadstatistik

Downloads

Weitere Literatur (mittels CORE)

Universitätsbibliothek