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We compare a large suite of theoretical cosmological models to observationaldata from the cosmic microwave background, baryon acoustic oscillationmeasurements of expansion, Type Ia SNe measurements of expansion, redshiftspace distortion measurements of the growth of structure, and the local Hubbleconstant. Our theoretical models include parametrizations of dark energy aswell as physical models of dark energy and modified gravity. We determine theconstraints on the model parameters, incorporating the redshift spacedistortion data directly in the analysis. To determine whether models can beruled out, we evaluate the $p$ value (the probability under the model ofobtaining data as bad or worse than the observed data). In our comparison, wefind the well known tension of H$_0$ with the other data; no model resolvesthis tension successfully. Among the models we consider, the large scale growthof structure data does not affect the modified gravity models as a categoryparticularly differently than dark energy models; it matters for some modifiedgravity models but not others, and the same is true for dark energy models. Wecompute predicted observables for each model under current observationalconstraints, and identify models for which future observational constraintswill be particularly informative.

An evaluation of cosmological models from expansion and growth of structure measurements