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Periodic Cosmological Evolutions of Equation of State for Dark Energy
General Relativity and Quantum Cosmology · Submitted 18 Mar 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim 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.
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The abstract, sentence by sentence
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 $\wp(t)$, $\sigma(t)$ and $\zeta(t)$ 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-Lema\^{i}tre-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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | 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 $\wp(t)$, $\sigma(t)$ and $\zeta(t)$ functions with two periods being infinite. | contribution 0.96 | 0.94 | 0.32 | asserted 1.00 |
| s1 | If the universe can evolve periodically, a non-singular universe can be realized. | interpretation 0.74 | 0.24 | 0.21 | hedged possibility 0.76 |
| s2 | Furthermore, we examine the cosmological evolution and nature of the equation of state (EoS) of dark energy in the Friedmann-Lema\^{i}tre-Robertson-Walker cosmology. | contribution 0.87 | 0.88 | 0.06 | asserted 0.86 |
| s3 | 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. | result 0.99 | 0.89 | 0.34 | asserted 0.99 |
| s4 | The scalar fields and the corresponding potentials are also analyzed for different types of models. | contribution 0.96 | 0.90 | 0.05 | asserted 0.95 |
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The paper
Original 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 $\wp(t)$, $\sigma(t)$ and $\zeta(t)$ 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-Lema\^{i}tre-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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How the literature uses it
4 arXiv papers cite this in 4 sentences
Papers citing it · 1 sentence without a confident label
Cites it as background 3 papers
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Generalization of the Chaplygin gas type models [ref] with the periodicity or the quasi-periodicity have also been explored in Ref. [ref] .
Reconstruction of the equation of state for the cyclic universes in homogeneous and isotropic cosmology · Introduction · 0.87
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There are a number of candidates for dark energy, e.g., the cosmological constant, scalar fields like quintessence [ref] and k-essence [ref] , and fluid as a Chaplygin gas [ref] (for reviews, see, e.g., [ref] , and for related works, see, for example, [ref] ).
Cosmological evolution of equation of state for dark energy in G-essence models · Introduction · 1.00
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Other examples are the ekpyrotic scenario [ref] based on brane theory, the string theory inspired bouncing cosmologies [ref] and the periodic cosmologies based on Chaplygin gas [ref] .
Isochronous Cosmologies · Introduction · 0.99
What it cites · 61 sentences without a confident label
Uses the method or tool of 5 papers
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In this paper, based on the reconstruction method in Refs. [ref] , with the Weierstrass $℘(t)$-function, we examine the cosmological evolution of the EoS for dark energy in FLRW cosmology.
Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models · Introduction · 0.99
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In this paper, based on the reconstruction method in Refs. [ref] , with the Weierstrass $℘(t)$-function, we examine the cosmological evolution of the EoS for dark energy in FLRW cosmology.
"Expansion" around the vacuum equation of state - sudden future singularities and asymptotic behavior · Introduction · 0.99
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In this paper, based on the reconstruction method in Refs. [ref] , with the Weierstrass $℘(t)$-function, we examine the cosmological evolution of the EoS for dark energy in FLRW cosmology.
Properties of singularities in (phantom) dark energy universe · Introduction · 0.99
Cites as background 94 papers
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Next, we explore the CG type models [ref] .
An alternative to quintessence · Brief review of the CG type models · 0.93
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In addition, the MCG has been proposed in Refs. [ref] .
Accelerated Universe from Modified Chaplygin Gas and Tachyonic Fluid · Brief review of the CG type models · 0.93
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Next, we explore the CG type models [ref] .
Solvable K-essence Cosmologies and Modified Chaplygin Gas Unified Models of Dark Energy and Dark Matter · Brief review of the CG type models · 0.93
Discussion
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