Regular Article – Theoretical Physics
The growth factor parametrization versus numerical solutions in flat and non-flat dark energy models
Nucleo Cosmo-ufes, Departamento de Física, Universidade Federal do Espirito Santo, 29075-910, Vitǿria, ES, Brazil
2 National Research Nuclear University MEPhI, Kashirskoe sh. 31, 115409, Moscow, Russia
Accepted: 21 December 2020
Published online: 29 December 2020
In the present investigation we use observational data of to determine observational constraints in the plane using two different methods: the growth factor parametrization and the numerical solutions method for density contrast, . We verified the correspondence between both methods for three models of accelerated expansion: the model, the model and the running cosmological constant RCC model. In all case we consider also the curvature as free parameter. The study of this correspondence is important because the growth factor parametrization method is frequently used to discriminate between competitive models. Our results we allow us to determine that there is a good correspondence between the observational constrains using both methods. We also test the power of the data to constraints the curvature parameter within the model. For this we use a non-parametric reconstruction using Gaussian processes. Our results show that the data with the current precision level does not allow to distinguish between a flat and non-flat universe.
© The Author(s) 2020
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