Antonio Bibiano edited section_Perturbations_The_linear_perturbations__.tex  almost 9 years ago

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It is possible to see how the model predicts and enhancement of the growth for the $\nu < 0$ solution, this is due to the strengthening of the gravitational coupling at high redshift that allows to overcome the "repulsion" associated with the expansion of cause by the vacuum energy density.  The opposite situation is evident for $\nu > 0$ where the higher value of $\rho_\Lambda$ and the weakening of the gravitational coupling at high redshift hinders the early growth of the perturbations.  This is also the main distinguishing feature of the linear analysis of the model, in fact as was demonstrated in \cite{Grande_2010} the shape of the matter power spectrum is the same as that of the $\Lambda CDM$ model due to the perturbations of $G$ and $\rho_\Lambda$ being negligible at early times with the results result  that the only signature in this regime is in the different spectrum amplitude.