Spacetime admitting semiconformal curvature tensor in f(ℛ) modify gravity

Abstract

The primary goal of this paper is to examine spacetimes admitting semiconformal curvature tensor in [Formula: see text] modify gravity. The semiconformal flatness of general spacetime and spacetime in [Formula: see text] gravity with perfect fluid, has been analyzed. For this consideration, we generate the forms of isotropic pressure [Formula: see text] and energy density [Formula: see text]. After that, a few energy conditions are taken into account. Finally, we study the divergence-free semiconformal curvature tensor in [Formula: see text] gravity in presence of perfect fluid. We emphasize that for recurrent or bi-recurrent energy–momentum tensor, Ricci tensor of this spacetime is semi-symmetric and consequently, the resulting spacetimes either accomplish inflation or possess fixed isotropic pressure and energy density.