Bifurcations in Ratra–Peebles quintessence models and their extensions

We have used the dynamical system approach in order to investigate the dynamics of cosmological models of the flat Universe with a non-minimally coupled canonical and phantom scalar field and the Ratra–Peebles potential. Applying methods of the bifurcation theory we have found three cases for which...

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Bibliographic Details
Published inThe European physical journal. C, Particles and fields Vol. 79; no. 9; pp. 1 - 20
Main Authors Humieja, Franciszek, Szydłowski, Marek
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2019
Springer
Springer Nature B.V
SpringerOpen
Subjects
Acceleration
Analysis
Astronomical models
Astronomy
Astrophysics and Cosmology
Bifurcation theory
Cosmology
Elementary Particles
Hadrons
Heavy Ions
Inflation (Finance)
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quintessence (cosmology)
Regular Article - Theoretical Physics
String Theory
Universe
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Summary:We have used the dynamical system approach in order to investigate the dynamics of cosmological models of the flat Universe with a non-minimally coupled canonical and phantom scalar field and the Ratra–Peebles potential. Applying methods of the bifurcation theory we have found three cases for which the Universe undergoes a generic evolution emerging from either the de Sitter or the static Universe state and finishing at the de Sitter state, without the presence of the initial singularity. This generic class of solutions explains both the inflation and the late-time acceleration of the Universe. In this class inflation is an endogenous effect of dynamics itself.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-019-7299-x