Constraining f(R) theories with cosmography

Abstract

A method to set constraints on the parameters of extended theories of gravitation is presented. It is based on the comparison of two series expansions of any observable that depends on H(z). The first expansion is of the cosmographical type, while the second uses the dependence of H with z furnished by a given type of extended theory. When applied to f(R) theories together with the redshift drift, the method yields limits on the parameters of two examples (the theory of Hu and Sawicki (2007), and the exponential gravity introduced by Linder (2009)) that are compatible with or more stringent than the existing ones, as well as a limit for a previously unconstrained parameter.

9 pages, 2 figures; v2: modifications in title and presentation, results unchanged

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Cited by in corpus (9)

• Extended Gravity Cosmography
• Cosmographic analysis of the equation of state of the universe through Padé approximations
• Swampland conjecture in $f(R)$ gravity by the Noether Symmetry Approach
• Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies
• Modeling Transit Dark Energy in $f(R,L_m)$-gravity
• Transit String Dark Energy Models in $f(Q)$ Gravity
• Dark Energy: The Shadowy Reflection of Dark Matter?
• Constraining minimally extended varying speed of light by cosmological chronometers
• Cosmography and the redshift drift in Palatini $f(\mathcal{R})$ theories