Cosmological equivalence between the Finsler-Randers space-time and the DGP gravity model

2013/01/27 by Spyros Basilakos, P. C. Stavrinos, Panayiotis Stavrinos
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Astrophysics #Astrophysics and Cosmic Phenomena #Cosmological model #Cosmology #Cosmology and Gravitation Theories #Curvature #Equivalence (formal languages) #Finsler manifold #Geometry #Mathematical physics #Mathematics #Physics #Pure mathematics #Scalar curvature #Theoretical physics #astro-ph.CO #gr-qc #hep-ph

paper · pdf · doi:10.1103/physrevd.87.043506

6 pages, 2 figures, accepted for publication in Phys. Rev. D. (typos corrected, published version)

arxiv created 2013/01/27 · openalex publication_date 2013/02/05 · arxiv updated 2015/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We perform a detailed comparison between the Finsler-Randers cosmological model and the Dvali, Gabadadze, and Porrati (DGP) braneworld model. If we assume that the spatial curvature is strictly equal to zero then we prove the following interesting proposition: despite the fact that the current cosmological models have a completely different geometrical origin, they share exactly the same Hubble expansion. This implies that the Finsler-Randers model is cosmologically equivalent with that of the DGP model as far as the cosmic expansion is concerned. At the perturbative level we find that the Finsler-Randers growth index of matter perturbations is \ensuremathγ_FR\ensuremath≃9/14, which is somewhat lower than that of DGP gravity (\ensuremathγ_DGP\ensuremath≃11/16), implying that the growth factor of the Finsler-Randers model is slightly different (\ensuremath∼0.1--2%) from the one provided by the DGP gravity model.

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