Periodic generalizations of Chaplygin gas type models for dark energy

Details Periodic generalizations of Chaplygin gas type models for dark energy Periodic generalizations of Chaplygin gas type models for dark energy

2012-03-18

arxiv.org/abs/1203.4226v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

28 pages, 15 figures

Scientific paper

We demonstrate two periodic generalizations of the Chaplygin gas type models to explain the origins of dark energy as well as dark matter by using the Weierstrass $\wp(t)$, $\sigma(t)$ and $\zeta(t)$ functions. In particular, we examine the cosmological evolution of the equation of state of dark energy in the homogeneous and isotropic Friedmann-Lema\^{i}tre-Robertson-Walker cosmology. Other periodic and quasi-periodic gas models are also explored. Furthermore, we explicitly illustrate 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.

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