$Λ$CDM, $Λ$DGP and extended phantom-like cosmologies

Details $Λ$CDM, $Λ$DGP and extended phantom-like cosmologies $Λ$CDM, $Λ$DGP and extended phantom-like cosmologies

2011-03-17

arxiv.org/abs/1103.3354v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

37 pages, 6 figures, accepted for publication in Astrophyics and Space Science

Scientific paper

In this paper we compare outcomes of some extended phantom-like cosmologies with each other and also with $\Lambda$CDM\, and $\Lambda$DGP. We focus on the variation of the luminosity distances, the age of the universe and the deceleration parameter versus the redshift in these scenarios. In a dynamical system approach, we show that the accelerating phase of the universe in the $f(R)$-DGP scenario is stable if one consider the \emph{curvature fluid} as a phantom scalar field in the equivalent scalar-tensor theory, otherwise it is a transient and unstable phenomenon. Up to the parameters values adopted in this paper, the extended $F(R,\phi)$-DGP scenario is closer to the $\Lambda$CDM scenario than other proposed models. All of these scenarios explain the late-time cosmic speed-up in their normal DGP branches, but the redshift at which transition to the accelerating phase occurs are different: while the $\Lambda$DGP model transits to the accelerating phase much earlier, the $F(R,\phi)$-DGP model transits to this phase much later than other scenarios. Also, within the parameter spaces adopted in this paper, the age of the universe in the $f(R)$-DGP model is larger than $\Lambda$CDM, but this age in $F(G,\phi)$-DGP is smaller than $\Lambda$CDM.

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