2011/08/14 by Kourosh Nozari, Faeze Kiani
Mathematics · Physics and Astronomy · #Anti-de Sitter space #Attractor #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Curvature #De Sitter universe #Equation of state #Galaxies: Formation, Evolution, Phenomena #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Perfect fluid #Phase space #Physics #Quantum gravity #Quantum mechanics #Scalar (mathematics) #Scalar curvature #Type (biology) #Universe #astro-ph.CO #f(R) gravity #gr-qc #hep-th
paper · pdf · doi:10.1016/j.physletb.2011.08.020
published as Phys.Lett.B703:395-401,2011 · 17 pages, 2 figures, accepted for publication in Phys. Lett. B
openalex publication_date 2011/08/14 · arxiv created 2011/08/23 · arxiv updated 2011/09/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It has been shown recently that the normal branch of a DGP braneworld scenario self-accelerates if the induced gravity on the brane is modified in the spirit of f(R) modified gravity. Within this viewpoint, we investigate cosmological viability of the Hu–Sawicki type modified induced gravity. Firstly, we present a dynamical system analysis of a general f(R)-DGP model. We show that in the phase space of the model, there exist three standard critical points; one of which is a de Sitter point corresponding to accelerating phase of the universe expansion. The stability of this point depends on the effective equation of state parameter of the curvature fluid. If we consider the curvature fluid to be a canonical scalar field in the equivalent scalar-tensor theory, the mentioned de Sitter phase is unstable, otherwise it is an attractor, stable phase. We show that the effective equation of state parameter of the model realizes an effective phantom-like behavior. A cosmographic analysis shows that this model, which admits a stable de Sitter phase in its expansion history, is a cosmologically viable scenario.