The growth factor parametrization versus numerical solutions in flat and non-flat dark energy models

Understand

In the present investigation we use observational data of $ f \sigma_ {8} $ to determine observational constraints in the plane $(\Omega_{m0},\sigma_{8})$ using two different methods: the growth factor parametrization and the numerical solutions method for density contrast, $\delta_{m}$.

• We verified the correspondence between both methods for three models of accelerated expansion: the $\Lambda CDM$ model, the $ w_{0}w_{a} CDM$ model and the running cosmological constant $RCC$ model.
• In all case we consider also 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.