Self-accelerating solutions in the cascading DGP braneworld

Abstract

The self-accelerating branch of the Dvali-Gabadadze-Porrati (DGP) five-dimensional braneworld has provided a compelling model for the current cosmic acceleration. Recent observations, however, have not favored it so much. We discuss the solutions which contain a de Sitter 3-brane in the cascading DGP braneworld model, which is a kind of higher-dimensional generalizations of the DGP model,where a $p$-dimensional brane is placed on a $(p+1)$-dimensional one and the $p$-brane action contains the $(p+1)$-dimensional induced scalar curvature term. In the simplest six-dimensional model, we derive the solutions. Our solutions can be classified into two branches, which reduce to the self-accelerating and normal solutions in the limit of the original five-dimensional DGP model. In the presence of the six-dimensional bulk gravity, the `normal' branch provides a new self-accelerating solution. The expansion rate of this new branch is generically lower than that of the original one, which may alleviate the fine-tuning problem.

4 pages, critical changes

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• Bi-galileon theory II: phenomenology
• Interacting Ghost Dark Energy in Brans-Dicke Theory
• Sounds of instability from generalized QCD ghost dark energy
• Cosmology in p-brane systems
• Cosmological Constraints on Ghost Dark Energy in the Brans-Dicke Theory by Using MCMC Approach
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• Degravitation and the Cascading DGP Model
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