Linear perturbations spectra for dynamical dark energy inspired by modified gravity
arXiv:2005.13957 · doi:10.1142/S0218271821500772
Abstract
In this paper, we study a particular modified gravity Equation of State, the so-called Jaime-Jaber-Escamilla, that emerges from the first gravity modified action principle and can reproduce three cosmological viable theories: the Starobinsky, Hu-Sawicki, and Exponential models . This EoS is a suitable candidate to reproduce the dynamical dark energy behaviour already reconstructed by the current data sets. Based on the joint statistical analysis, we found that our results are still in good agreement (within ) with the CDM, while at perturbative level we notice that the matter power spectrum normalisation factor shows an agreement with SDSS and SNeIa+IRAS at 1- for the Starobinsky model and with SDSS-vec for the Hu \& Sawicki and Exponential models. Furthermore, we found that for the values, Starobinsky and Hu \& Sawicki show the least tension in comparison with PL18 TT. All these aspects cannot be observed \textit{directly} from other alternatives theories, were a equation of state is difficult to compute analytically.
8 pages, 3 figures, 2 tables. Version accepted for publication in the International Journal of Modern Physics D
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