One of the possible potential candidates for describing universe's rapid expansion is modified gravity. In framework theory gravity $f(R,G)$, present work features materialization anisotropic matter, such as compact stars. Specifically, to learn more about physical behavior stars, radial, and tangential pressures well energy density six stars namely $Her X-1$, $SAXJ1808.4-3658$, $4U1820-30$, $P...

We study single field slow-roll inflation in the presence of $F(R)$ gravity Palatini formulation. In contrast to metric $F(R)$, when rewritten terms an auxiliary and moved Einstein frame, does not develop a new dynamical degree freedom. However, it is possible solve analytically constraint equation for general $F(R)$. propose method that allows us circumvent this issue compute inflationary obse...

In this work, we study the possibility of finite-time future cosmological singularities appearing in $f(R,T)$ gravity, where $R$ is Ricci scalar and $T$ trace stress-energy tensor. We present theory both geometrical dynamically equivalent scalar-tensor representation obtain respective equations motion. a background Friedmann-Lema\^{i}tre-Robertson-Walker (FLRW) universe with an arbitrary curvat...