Solitons and gradient solitons on perfect fluid spacetime in f(R, T)-gravity.

This research article attempts to examine the attribute of perfect fluid spacetime in f(R, T) gravity with a Killing velocity vector field ρ in terms of Ricci soliton, gradient Ricci soliton, Yamabe soliton, and gradient Yamabe soliton. Besides this, we evaluate a specific situation when the potential vector field ρ is of the form of gradient, we extract a modified Poisson equation, and modified Liouville equation from the Ricci soliton equation in f(R, T)-gravity stuffing with perfect fluids. In addition, we explore some harmonic significance of Ricci soliton on perfect fluid spacetime in f(R, T) gravity with a harmonic potential function Ψ. [ABSTRACT FROM AUTHOR]