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arXiv · 1207.2735

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

Mubasher Jamil·Kuralay Yesmakhanova·Davood Momeni·Ratbay Myrzakulov
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Abstract

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)= \beta\sqrt{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 $(u,v,\Omega,T)$. From this critical sheet, we conclude that the coupling between the dark energy and matter $c\in (-2,0)$.

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Mubasher Jamil, Kuralay Yesmakhanova, Davood Momeni, Ratbay Myrzakulov. 2012-07-10. Phase space analysis of interacting dark energy in f(T) cosmology. https://doi.org/10.2478/s11534-012-0103-2

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