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 $\xi$ . Furthermore, if the potential vector field $\xi$ of the Ricci-Yamabe soliton is of the gradient type, the Laplace-Poisson equation is derived. Also, we explore the harmonic aspects of $\eta$ -Ricci-Yamabe soliton on an imperfect fluid $\text{GRW}$ spacetime with a harmonic potential function $\psi$ . Finally, we examine necessary and sufficient conditions for a $1$ -form $\eta$ , which is the $g$ -dual of the vector field $\xi$ on imperfect fluid $\text{GRW}$ spacetime to be a solution of the Schrödinger-Ricci equation.