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Phase space analysis of interacting dark energy in f(T) cosmology

100%
Jamil M., Yesmakhanova K., Momeni D., Myrzakulov R.
Open Physics
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2012
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vol. 10
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issue 5
1065-1071
EN
In this paper, we examine the interacting dark energy model in f(T) cosmology. We assume dark energy as a perfect fluid and choose a specific cosmologically viable form f(T) = β√T. We show that there is one attractor solution to the dynamical equation of f(T) Friedmann equations. Further we investigate the stability in phase space for a general f(T) model with two interacting fluids. By studying the local stability near the critical points, we show that the critical points lie on the sheet u* = (c − 1)v* in the phase space, spanned by coordinates (u, v, Ω, T). From this critical sheet, we conclude that the coupling between the dark energy and matter c ∈ (−2, 0).
2
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Reconstruction of the equation of state for the cyclic universes in homogeneous and isotropic cosmology

100%
Bamba K., Yesmakhanova K., Yerzhanov K., Myrzakulov R.
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EN
We study the cosmological evolutions of the equation of state (EoS) for the universe in the homogeneous and isotropic Friedmann-Lemaître-Robertson-Walker (FLRW) space-time. In particular, we reconstruct the cyclic universes by using the Weierstrass and Jacobian elliptic functions. It is explicitly illustrated that in several models the universe always stays in the non-phantom (quintessence) phase, whereas there also exist models in which the crossing of the phantom divide can be realized in the reconstructed cyclic universes.
3
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Einstein-Cartan gravity with scalar-fermion interactions

88%
Razina O., Myrzakulov Y., Serikbayev N., Nugmanova G., Myrzakulov R.
Open Physics
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2012
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vol. 10
|
issue 1
47-50
EN
In this paper, we have considered the g-essence and its particular cases, k-essence and f-essence, within the framework of the Einstein-Cartan theory. We have shown that a single fermionic field can give rise to the accelerated expansion within the Einstein-Cartan theory. The exact analytical solution of the Einstein-Cartan-Dirac equations is found. This solution describes the accelerated expansion of the Universe with the equation of state parameter w = −1 as in the case of ΛCDM model.
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