Cosmography of f(R) - brane cosmology

Abstract

Cosmography is a useful tool to constrain cosmological models, in particular dark energy models. In the case of modified theories of gravity, where the equations of motion are generally quite complicated, cosmography can contribute to select realistic models without imposing arbitrary choices a priori. Indeed, its reliability is based on the assumptions that the universe is homogeneous and isotropic on large scale and luminosity distance can be "tracked" by the derivative series of the scale factor a(t). We apply this approach to induced gravity brane-world models where an f(R)-term is present in the brane effective action. The virtue of the model is to self-accelerate the normal and healthy DGP branch once the f(R)-term deviates from the Hilbert-Einstein action. We show that the model, coming from a fundamental theory, is consistent with the LCDM scenario at low redshift. We finally estimate the cosmographic parameters fitting the Union2 Type Ia Supernovae (SNeIa) dataset and the distance priors from Baryon Acoustic Oscillations (BAO) and then provide constraints on the present day values of f(R) and its second and third derivatives.

9 pages, 3 figures, to appear in Phys. Rev. D

References in corpus (12)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Dynamics of dark energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Cosmography of f(R) gravity
• Constructing stabilized brane world models in five-dimensional Brans-Dicke theory
• Ghosts in the self-accelerating universe
• Cosmographic Hubble fits to the supernova data
• Cosmological constraints combining H(z), CMB shift and SNIa observational data
• Brane f(R) gravity cosmologies

Cited by in corpus (10)

• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Extended Gravity Cosmography
• Cosmographic bounds on the cosmological deceleration-acceleration transition redshift in $f(\mathcal{R})$ gravity
• Eddington-Born-Infeld cosmology: a cosmographic approach, a tale of doomsdays and the fate of bound structures
• Observational Constraints and Cosmological Implications of Scalar-Tensor $f(R,T)$ Gravity
• Modeling Transit Dark Energy in $f(R,L_m)$-gravity
• Transit String Dark Energy Models in $f(Q)$ Gravity
• ΛCDM suitably embedded in f(R) with a non-minimal coupling to matter
• Brane cosmology in teleparallel and $f(T)$ gravity
• Cosmography in F(G) modified gravity