Cosmological dynamics with modified induced gravity on the normal DGP branch

Details Cosmological dynamics with modified induced gravity on the normal DGP branch Cosmological dynamics with modified induced gravity on the normal DGP branch

2010-08-25

arxiv.org/abs/1008.4240v5

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 5 figures, major revision, references are updated

Scientific paper

In this paper we investigate cosmological dynamics on the normal branch of a DGP-inspired scenario within a phase space approach where induced gravity is modified in the spirit of $f(R)$-theories. We apply the dynamical system analysis to achieve the stable solutions of the scenario in the normal DGP branch. Firstly, we consider a general form of the modified induced gravity and we show that there is a standard de Sitter point in phase space of the model. Then we prove that this point is stable attractor only for those $f(R)$ functions that account for late-time cosmic speed-up.

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