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

Abstract

We perform a detailed comparison between the Finsler-Randers cosmological model and the Dvali, Gabadadze and Porrati braneworld model. If we assume that the spatial curvature is strictly equal to zero then we prove the following interesting proposition: {\it 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 ${\gamma }_{FR}\simeq 9/14$ which is somewhat lower than that of DGP gravity (${\gamma }_{DGP}\simeq 11/16$) implying that the growth factor of the Finsler-Randers model is slightly different ($\sim 0.1-2$) from the one provided by the DGP gravity model.

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

References in corpus (30)

• Dynamics of dark energy
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Disappearing cosmological constant in f(R) gravity
• Conditions for the cosmological viability of f(R) dark energy models
• Are f(R) dark energy models cosmologically viable ?
• Solar System constraints to general f(R) gravity
• Confirmation of general relativity on large scales from weak lensing and galaxy velocities
• Gravitational lensing in the Kerr-Randers optical geometry
• General Very Special Relativity is Finsler Geometry
• Riemann-Finsler geometry and Lorentz-violating kinematics
• Cosmology and Astrophysical Constraints of Gauss-Bonnet Dark Energy
• Solar System tests DO rule out 1/R gravity
• Stability of Cosmological Solution in f(R) Models of Gravity
• Testing LCDM with the Growth Function δ(a): Current Constraints
• Observational constraints on self-accelerating cosmology
• The acceleration of the universe and the physics behind it
• The General Very Special Relativity in Finsler Cosmology
• Large-Scale Tests of the DGP Model
• Bipartite Riemann-Finsler geometry and Lorentz violation
• Density perturbations in f(R) gravity theories in metric and Palatini formalisms
• Growth factor parametrization and modified gravity
• Friedmann Robertson-Walker model in generalised metric space-time with weak anisotropy
• N-Body Simulations of Alternate Gravity Models
• Growth Index of DGP Model and Current Growth Rate Data
• Gödel-type universes in f(R) gravity
• Stringy Space-Time Foam, Finsler-like Metrics and Dark Matter Relics
• Lorentz Invariance Violation and Symmetry in Randers--Finsler Spaces
• Dynamically avoiding fine-tuning the cosmological constant: the "Relaxed Universe"
• Bi-metric pseudo-Finslerian spacetimes
• Rapidities and Observable 3-Velocities in the Flat Finslerian Event Space with Entirely Broken 3D Isotropy

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• Cosmological evolution and dark energy in osculating Barthel-Randers geometry
• Growth of matter perturbations in clustered holographic dark energy cosmologies
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• Off-Diagonal Deformations of Kerr Black Holes in Einstein and Modified Massive Gravity and Higher Dimensions
• Dynamics in Varying vacuum Finsler-Randers Cosmology
• Cosmological tests of the osculating Barthel-Kropina dark energy model
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• Bounce cosmology in generalized modified gravities
• Testing Einstein's gravity and dark energy with growth of matter perturbations: Indications for new Physics?
• Dark energy and accelerating cosmological evolution from osculating Barthel-Kropina geometry
• Agegraphic dark energy: growth index and cosmological implications
• Growth index of matter perturbations in running vacuum models
• Modified Einstein and Finsler Like Theories on Tangent Lorentz Bundles
• Weak field equations and generalized FRW cosmology on the tangent Lorentz bundle
• Black Holes with MDRs and Bekenstein-Hawking and Perelman Entropies for Finsler-Lagrange-Hamilton Spaces
• Finsler-Randers-Sasaki gravity and cosmology
• Precision growth index using the clustering of cosmic structures and growth data
• Cosmological constrains on minimally and non-minimally coupled scalar field models
• Dark Gravitational Sectors on a Generalized Scalar-Tensor Vector Bundle Model and Cosmological Applications
• Schwarzschild-Finsler-Randers spacetime: Dynamical analysis, Geodesics and Deflection Angle
• Applications of the Schwarzschild-Finsler-Randers model
• Cosmic Growth in $f(T)$ Teleparallel Gravity
• Heterotic Supergravity with Internal Almost-Kähler Spaces, Instantons for $SO(32)$, or $E_8\times E_8$, Gauge Groups, and Deformed Black Holes with Soliton, Quasiperiodic and/or Pattern-forming Structures
• Cosmic magnetization in curved and Lorentz violating space-times
• Modified Dynamical Supergravity Breaking and Off-Diagonal Super-Higgs Effects
• Off-Diagonal Deformations of Kerr Metrics and Black Ellipsoids in Heterotic Supergravity
• Growth of matter fluctuations in $f(R,T)$ Gravity
• Anisotropic Conformal Dark Gravity on the Lorentz Tangent Bundle Spacetime
• From Barthel Randers Kropina Geometries to the Accelerating Universe: A Brief Review of Recent Advances in Finslerian Cosmology
• Variable $G$ and $\Lambda$ gravity theory and analytical Cosmological Solutions using Noether symmetry approach
• Ellipsoidal Universe and Cosmic Shear
• Dynamical analysis and cosmological viability of varying $G$ and $\Lambda$ cosmology
• Observational tests of the conformal osculating Barthel-Kropina cosmological model
• Physics in a general length space-time geometry: Call for experimental revision of the light speed anisotropy
• Finslerian geometrodynamics