Cosmological implications of Rastall-$f(R)$ theory

Abstract

Cosmological implications of a generalized Rastall theory where the non-conservation equation is promoted to accepts arbitrary functions of the Ricci scalar is considered. We have obtain the model parameters of the power-law ansatz $f\propto R^{\eta }$, using $H_0$ and $f{\sigma }_8$ data sets and show that the generalized Rastall theory could satisfy observational data. The dynamical analysis of the model shows that for $\eta \in (0,1)$, the dust dominated fixed point is lost and as a result the parameter range of $\eta$ should be restricted to $\eta \ge 1$. We will also show that the genralized Rastall theory will predict more accelerating universe with larger radius, compared to the $\Lambda$CDM model.

arXiv comment10 pages, 5 figures

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• Cosmological perturbations in the energy-momentum squared gravity theory: constraints from gravitational wave standard sirens and redshift space distortions