Abstract
We present an application to cosmological models in f({{mathcal {R}}}) theories within the Palatini formalism of a method that combines cosmography and the explicit form of the field equations in the calculation of the redshift drift. The method yields a sequence of constraint equations which lead to limits on the parameter space of a given f({{mathcal {R}}})-model. Two particular families of f(mathcal{R})-cosmologies capable of describing the current dynamics of the universe are explored here: (i) power law theories of the type f({{mathcal {R}}})={{mathcal {R}}}-beta /{{mathcal {R}}}^n, and (ii) theories of the form f({{mathcal {R}}})={{mathcal {R}}}+alpha ln {{{mathcal {R}}}} -beta . The constraints on (n,beta ) and (alpha ,beta ), respectively, limit the values to intervals that are narrower than the ones previously obtained. As a byproduct, we show that when applied to General Relativity, the method yields values of the kinematic parameters with much smaller errors that those obtained directly from observations.
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