Quantum Creation of a Universe in Albrecht-Magueijo-Barrow model

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dc.creatorYurov, A. V.
dc.creatorYurov, V. A.
dc.date2005-05-04
dc.date2008-12-21
dc.date.accessioned2026-07-07T12:20:41Z
dc.date.available2026-07-07T12:20:41Z
dc.descriptionIn quantum cosmology the closed universe can spontaneously nucleate out of the state with no classical space and time. The semiclassical tunneling nucleation probability can be estimated as $\emph{P}\sim\exp(-α^2/Λ)$ where $α$=const and $Λ$ is the cosmological constant. In classical cosmology with varying speed of light $c(t)$ (VSL) it is possible to solve the horizon problem, the flatness problem and the $Λ$-problem if $c=sa^n$ with $s$=const and $n<-2$. We show that in VSL quantum cosmology with $n<-2$ the semiclassical tunneling nucleation probability is $\emph{P}\sim\exp(-β^2Λ^k)$ with $β$=const and $k>0$. Thus, the semiclassical tunneling nucleation probability in VSL quantum cosmology is very different from that in quantum cosmology with $c$=const. In particular, it can be strongly suppressed for large values of $Λ$. In addition, we propose the instanton which describes the nucleation of closed universes in VSL models. This solution is akin to the Hawking-Turok instanton in the means of O(4) invariance but, unlike to it, is non-singular. Moreover, using this solution we can obtain the probability of nucleation which is suppressed for large value of $Λ$ too.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0505034
dc.identifierhttp://arxiv.org/abs/hep-th/0505034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213133
dc.subjectHigh Energy Physics - Theory
dc.titleQuantum Creation of a Universe in Albrecht-Magueijo-Barrow model
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