Almost Ricci solitons on weakly Ricci symmetric perfect fluid spacetime

The aim of this paper is to study geometrical aspects of an almost Ricci soliton on Formula: see text perfect fluid spacetime obeying Einstein’s field equation. Among others, we first find the soliton constant and cosmological constant in terms of scalar curvature and potential vector field in Formula: see text perfect fluid spacetime. Next, we discuss some physical phenomena related to dust fluid, dark fluid, and radiation era in Formula: see text perfect fluid spacetime admitting an almost Ricci soliton with potential vector field as solenoidal vector field and basic vector field Formula: see text under matter collineation condition. Further, we find an inequality for soliton constant when Formula: see text perfect fluid spacetime obeys the timelike convergence condition. Finally, we obtain some results in a Formula: see text perfect fluid spacetime whose metric represents an almost Ricci soliton when basic vector field and potential vector field both are torseforming vector field Formula: see text. Also, for such spacetime we find the soliton constant in terms of cosmological constant, gravitational constant, energy density, and isotropic pressure. We also provide an example of Formula: see text spacetime whose metric represents an almost Ricci soliton.