We derive a new interior solution for stellar compact objects in $f\mathcal{(R)}$ gravity assuming differential relation to constrain the Ricci curvature scalar. To this aim, we consider specific forms radial component of metric and first derivative $f\mathcal{(R)}$. After, time potential form $f(\mathcal R)$ function are derived. From these results, it is possible obtain tangential components ...

In this article, we seek exact charged spherically symmetric black holes (BHs) with considering $f(\mathcal{R})$ gravitational theory. These BHs are characterized by convolution and error functions. Those two functions depend on a constant of integration which is responsible to make such solution deviate from the Einstein general relativity (GR). The function constitutes charge potential Maxwel...

Abstract Inspired by the recent “Complexity = Action” conjecture, we use the approach proposed by Lehner et al. to calculate the rate of the action of the WheelerDeWitt patch at late times for static uncharged and charged black holes in f (R) gravity. Our results have the same expressions in terms of the mass, charge, and electrical potentials at the horizons of black holes as in Einstein’s gra...

We model the chameleon effect on cosmological statistics for the modified gravity f(R) model of cosmic acceleration. The chameleon effect, required to make the model compatible with local tests of gravity, reduces force enhancement as a function of the depth of the gravitational potential wells of collapsed structure and so is readily incorporated into a halo model by including parameters for t...

In the present paper we will investigate the relation between scalar-tensor theory and f(R) theories of gravity. Such studies have been performed in the past for the metric formalism of f(R) gravity; here we will consider mainly the Palatini formalism, where the metric and the connections are treated as independent quantities. We will try to investigate under which circumstances f(R) theories o...