Entropy 2012, 14(11), 2351-2374; doi:10.3390/e14112351

Periodic Cosmological Evolutions of Equation of State for Dark Energy 

1 Kobayashi-Maskawa Institute for the Origin of Particles and the Universe, Nagoya University, Nagoya 464-8602, Japan 2 Eurasian International Center for Theoretical Physics, Eurasian National University, Astana 010008, Kazakhstan 3 Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah-711103, India
* Author to whom correspondence should be addressed.
Received: 27 August 2012; in revised form: 27 September 2012 / Accepted: 23 October 2012 / Published: 20 November 2012
(This article belongs to the Special Issue Modified Gravity: From Black Holes Entropy to Current Cosmology)
PDF Full-text Download PDF Full-Text [195 KB, Updated Version, uploaded 21 November 2012 14:04 CET]
The original version is still available [199 KB, uploaded 20 November 2012 11:12 CET]
Abstract: 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.
Keywords: dark energy; cosmology; particle-theory and field-theory models of the early universe

Article Statistics

Load and display the download statistics.

Citations to this Article

Cite This Article

MDPI and ACS Style

Bamba, K.; Debnath, U.; Yesmakhanova, K.; Tsyba, P.; Nugmanova, G.; Myrzakulov, R. Periodic Cosmological Evolutions of Equation of State for Dark Energy . Entropy 2012, 14, 2351-2374.

AMA Style

Bamba K, Debnath U, Yesmakhanova K, Tsyba P, Nugmanova G, Myrzakulov R. Periodic Cosmological Evolutions of Equation of State for Dark Energy . Entropy. 2012; 14(11):2351-2374.

Chicago/Turabian Style

Bamba, Kazuharu; Debnath, Ujjal; Yesmakhanova, Kuralay; Tsyba, Petr; Nugmanova, Gulgasyl; Myrzakulov, Ratbay. 2012. "Periodic Cosmological Evolutions of Equation of State for Dark Energy ." Entropy 14, no. 11: 2351-2374.

Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert