Imperfect Fluid Generalized Robertson Walker Spacetime Admitting Ricci-Yamabe Metric

Abstract

In the present paper, we investigate the nature of Ricci-Yamabe soliton on an imperfect fluid generalized Robertson-Walker spacetime with a torse-forming vector field ξ. Furthermore, if the potential vector field ξ of the Ricci-Yamabe soliton is of the gradient type, the Laplace-Poisson equation is derived. Also, we explore the harmonic aspects of η-Ricci-Yamabe soliton on an imperfect fluid GRW spacetime with a harmonic potential function ψ. Finally, we examine necessary and sufficient conditions for a 1-form η, which is the g-dual of the vector field ξ on imperfect fluid GRW spacetime to be a solution of the Schrödinger-Ricci equation.