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

2012/07/10 by Mubasher Jamil, Kuralay Yesmakhanova, Davood Momeni +1 · 1 citation
Physics and Astronomy · #gr-qc

paper · pdf · doi:10.2478/s11534-012-0103-2

published as Cent. Eur. J. Phys. 10 (2012) 1065-1071 · 13 pages,2 figures, Published in "Central European Journal of Physics"

arxiv created 2012/07/10 · arxiv updated 2012/11/30

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)= 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).

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