Regular Article - Theoretical Physics
Cosmography and the redshift drift in Palatini theories
Departamento de Física Teórica, Instituto de Física, Universidade do Estado de Rio de Janeiro, Rio de Janeiro, CEP 20550-013, Brazil
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Accepted: 10 March 2019
Published online: 22 March 2019
We present an application to cosmological models in 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 -model. Two particular families of -cosmologies capable of describing the current dynamics of the universe are explored here: (i) power law theories of the type , and (ii) theories of the form . The constraints on and , 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.
© The Author(s), 2019