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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 $f(R)$ 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 $1sigma$) with the $Lambda$CDM, while at perturbative level we notice that the matter power spectrum normalisation factor $sigma_8$ shows an agreement with SDSS and SNeIa+IRAS at 1-$sigma$ for the Starobinsky model and with SDSS-vec for the Hu & Sawicki and Exponential models. Furthermore, we found that for the $H_0$ 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.
The Nobel Prize winning confirmation in 1998 of the accelerated expansion of our Universe put into sharp focus the need of a consistent theoretical model to explain the origin of this acceleration. As a result over the past two decades there has been
We study a class of almost scale-invariant modified gravity theories, using a particular form of $f(R, G) = alpha R^2 + beta G log G$ where $R$ and $G$ are the Ricci and Gauss-Bonnet scalars, respectively and $alpha$, $beta$ are arbitrary constants.
We perform a phase space analysis of a generalized modified gravity theory with nonminimally coupling between geometry and matter. We apply the dynamical system approach to this generalized model and find that in the cosmological context, different c
It is shown that F(R)-modified gravitational theories lead to curvature oscillations in astrophysical systems with rising energy density. The frequency and the amplitude of such oscillations could be very high and would lead to noticeable production of energetic cosmic ray particles.
Until recently the study of the gravitational field of dark matter was primarily concerned with its local effects on the motion of stars in galaxies and galaxy clusters. On the other hand, the WMAP experiment has shown that the gravitational field pr