Self-accelerating the normal DGP branch

Abstract

We propose a generalised induced gravity brane-world model where the brane action contains an arbitrary f(R) term, R being the scalar curvature of the brane. We show that the effect of the f(R)term on the dynamics of a homogeneous and isotropic brane is twofold: (i) an evolving induced gravity parameter and (ii) a shift on the energy density of the brane. This new shift term, which is absent on the Dvali, Gabadadze and Porrati (DGP) model, plays a crucial role to self-accelerate the generalised normal DGP branch of our model. We analyse as well the stability of de Sitter self-accelerating solutions under homogeneous perturbations and compare our results with the standard 4-dimensional one. Finally, we obtain power law solutions which either correspond to conventional acceleration or super-acceleration of the brane. In the latter case, no phantom matter is invoked on the brane nor in the bulk.

9 pages, 2 figures, RevTeX 4. References added. Version to appear in JCAP

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Cited by in corpus (16)

• The cosmology of an holographic induced gravity model with curvature effects
• Cosmography of f(R) - brane cosmology
• Appeasing the Phantom Menace?
• The holographic induced gravity model with a Ricci dark energy: smoothing the little rip and big rip through Gauss-Bonnet effects?
• $f(R)$ gravity modifications: from the action to the data
• DGP Cosmological model with generalized Ricci dark energy
• Aspects of Some New Versions of Pilgrim Dark Energy in DGP Braneworld
• Holographic dark energy in the DGP model
• Normal DGP in varying speed of light cosmology
• Probing Lambda-DGP Braneworld Model
• Gauss-Bonnet Braneworld Cosmology with Modified Induced Gravity on the Brane
• f(R) brane cosmology
• Effective cosmological equations of induced f(R) gravity
• On the cosmological viability of the Hu-Sawicki type modified induced gravity
• Cosmological dynamics with modified induced gravity on the normal DGP branch
• Ghosts in the self-accelerating DGP branch with Gauss-Bonnet effect