MG15 - Talk detail

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In this work we study a scale-dependent gravitational theory in a cosmological context. Starting from an effective Einstein-Hilbert action with time-dependent couplings, generalized Friedmann equations are obtained by means of applying the variational principle to the aforementioned action. For a matter-dominated era, a comparison between previous running vacuum models, the variational running vacuum model studied in this work, and experimental data of the Lambda Cold Dark Matter model is performed. One of the most important results is that when we consider a constant dark matter state equation p = -$\rho$ our model does not fit well with the experimental data for the Hubble parameter H(z). This is due to a quick decay of G(t). However, when we consider a variable state equation for dark energy p(z) = w(z) $\rho(z)$, our model fits very well with the experimental data of H(z) and the behavior of G(t) can be considered as a perturbation around G(t) = constant.

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