Periodic Cosmological Evolutions of Equation of State for Dark Energy

We demonstrate two periodic or quasi-periodic generalizations of the Chaplygin gas (CG) type models to explain the origins of dark energy as well as dark matter by using the Weierstrass ξ(t), σ(t) and ζ (t) functions with two periods being infinite. If the universe can evolve periodically, a non-sin...

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Main Authors: Ratbay Myrzakulov, Gulgasyl Nugmanova, Petr Tsyba, Kuralay Yesmakhanova, Kazuharu Bamba, Ujjal Debnath
Format: Article
Language:English
Published: MDPI AG 2012-11-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/14/11/2351
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author Ratbay Myrzakulov
Gulgasyl Nugmanova
Petr Tsyba
Kuralay Yesmakhanova
Kazuharu Bamba
Ujjal Debnath
author_facet Ratbay Myrzakulov
Gulgasyl Nugmanova
Petr Tsyba
Kuralay Yesmakhanova
Kazuharu Bamba
Ujjal Debnath
author_sort Ratbay Myrzakulov
collection DOAJ
description We demonstrate two periodic or quasi-periodic generalizations of the Chaplygin gas (CG) type models to explain the origins of dark energy as well as dark matter by using the Weierstrass ξ(t), σ(t) and ζ (t) functions with two periods being infinite. If the universe can evolve periodically, a non-singular universe can be realized. Furthermore, we examine the cosmological evolution and nature of the equation of state (EoS) of dark energy in the Friedmann–Lemaître–Robertson–Walker cosmology. It is explicitly illustrated that there exist three type models in which the universe always stays in the non-phantom (quintessence) phase, whereas it always evolves in the phantom phase, or the crossing of the phantom divide can be realized. The scalar fields and the corresponding potentials are also analyzed for different types of models.
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spelling doaj.art-b1b5c89bfe5d4e6881e961e315216bc72022-12-22T04:22:05ZengMDPI AGEntropy1099-43002012-11-0114112351237410.3390/e14112351Periodic Cosmological Evolutions of Equation of State for Dark EnergyRatbay MyrzakulovGulgasyl NugmanovaPetr TsybaKuralay YesmakhanovaKazuharu BambaUjjal DebnathWe demonstrate two periodic or quasi-periodic generalizations of the Chaplygin gas (CG) type models to explain the origins of dark energy as well as dark matter by using the Weierstrass ξ(t), σ(t) and ζ (t) functions with two periods being infinite. If the universe can evolve periodically, a non-singular universe can be realized. Furthermore, we examine the cosmological evolution and nature of the equation of state (EoS) of dark energy in the Friedmann–Lemaître–Robertson–Walker cosmology. It is explicitly illustrated that there exist three type models in which the universe always stays in the non-phantom (quintessence) phase, whereas it always evolves in the phantom phase, or the crossing of the phantom divide can be realized. The scalar fields and the corresponding potentials are also analyzed for different types of models.http://www.mdpi.com/1099-4300/14/11/2351dark energycosmologyparticle-theory and field-theory models of the early universe
spellingShingle Ratbay Myrzakulov
Gulgasyl Nugmanova
Petr Tsyba
Kuralay Yesmakhanova
Kazuharu Bamba
Ujjal Debnath
Periodic Cosmological Evolutions of Equation of State for Dark Energy
Entropy
dark energy
cosmology
particle-theory and field-theory models of the early universe
title Periodic Cosmological Evolutions of Equation of State for Dark Energy
title_full Periodic Cosmological Evolutions of Equation of State for Dark Energy
title_fullStr Periodic Cosmological Evolutions of Equation of State for Dark Energy
title_full_unstemmed Periodic Cosmological Evolutions of Equation of State for Dark Energy
title_short Periodic Cosmological Evolutions of Equation of State for Dark Energy
title_sort periodic cosmological evolutions of equation of state for dark energy
topic dark energy
cosmology
particle-theory and field-theory models of the early universe
url http://www.mdpi.com/1099-4300/14/11/2351
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