Expansion history and f(R) modified gravity

Abstract

We attempt to fit cosmological data using $f(R)$ modified Lagrangians containing inverse powers of the Ricci scalar varied with respect to the metric. While we can fit the supernova data well, we confirm the $a\propto t^{1/2}$ behaviour at medium to high redshifts reported elsewhere and argue that the easiest way to show that this class of models are inconsistent with the data is by considering the thickness of the last scattering surface. For the best fit parameters to the supernova data, the simplest 1/R model gives rise to a last scattering surface of thickness $\Delta z\sim 530$, inconsistent with observations.

accepted in JCAP, presentation clarified, results and conclusions unchanged

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• On the non-attractive character of gravity in f(R) theories
• Bayesian Analysis and Constraints on Kinematic Models from Union SNIa
• Cosmological Constraints from Hubble Parameter on f(R) Cosmologies
• Standard Cosmological Evolution in a Wide Range of f(R) Models
• CMB distance priors revisited: effects of dark energy dynamics, spatial curvature, primordial power spectrum, and neutrino parameters
• Homogeneous cosmologies in generalized modified gravity
• Future dynamics in f(R) theories
• Stability and Space Phase Analysis in f(R) theory with Generalized Exponential model
• Cosmological Consequences of Exponential Gravity in Palatini Formalism
• Constraints on a $f(R)$ gravity dark energy model with early scaling evolution
• Multicomponent solution in modified theory of gravity in the early universe
• Several Action and Action Deformation Proposals in f(R) Variable G Modified Gravities and a Brief Expose on Variable G Ontology