$\Lambda$CDM, $\Lambda$DGP and extended phantom-like cosmologies

Abstract

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 $F(R,\varphi )$-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 $F(R,\varphi )$-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 $F(G,\varphi )$-DGP is smaller than $\Lambda$CDM.

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

References in corpus (30)

• Dynamics of dark energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Disappearing cosmological constant in f(R) gravity
• Observational Constraints on the Nature of the Dark Energy: First Cosmological Results from the ESSENCE Supernova Survey
• Are f(R) dark energy models cosmologically viable ?
• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• The future evolution and finite-time singularities in $F(R)$-gravity unifying the inflation and cosmic acceleration
• Cosmography of f(R) gravity
• Observational constraints on self-accelerating cosmology
• Dark energy from modified F(R)-scalar-Gauss-Bonnet gravity
• On the way from matter-dominated era to dark energy universe
• Holographic Chaplygin DGP cosmologies
• Chaplygin DGP cosmologies
• Cosmological Surprises from Braneworld models of Dark Energy
• Accelerating universe in $f(\mathcal{R})$ brane gravity
• DGP Cosmology with a Non-Minimally Coupled Scalar Field on the Brane
• Cosmological constraints on the Hu-Sawicki modified gravity scenario
• Crossing the Phantom Divide Line in a DGP-Inspired $F(R,\varphi )$-Gravity
• Modified GBIG Scenario as an Alternative for Dark Energy
• Modified gravity inspired DGP brane cosmology
• Dynamical-Screening and the Phantom-Like Effects in a DGP-Inspired $F(R,\varphi )$ Model
• Embedding of FRW Cosmology in DGP Scenario with a Non-Minimally Coupled Scalar Field on the Brane
• Curvature corrections in DGP brane cosmology
• Effective gravitational equations on brane world with induced gravity described by $f(R)$ term
• Role of Chaplygin gas as geometrical dark energy in anisotropic brane gravity
• Self-accelerating solutions of scalar-tensor gravity
• Chaplygin gas in decelerating DGP gravity and the age of the oldest star
• A Dark Energy model combining DGP gravity and Chaplygin gas
• Chaplygin gas in decelerating DGP gravity