Hyperbolic Ricci solitons on perfect fluid spacetimes

In the present paper, we investigate perfect fluid spacetimes and perfect fluid generalized Roberston-Walker spacetimes that contain a torse-forming vector field satisfying almost hyperbolic Ricci solitons. We show that the perfect fluid spacetimes that contain a torse-forming vector field satisfy an almost hyperbolic Ricci soliton, and we prove that a perfect fluid generalized RoberstonWalker spacetime satisfying an almost hyperbolic Ricci soliton (g, zeta, e, mu) is an Einstein manifold. Also, we study an almost hyperbolic Ricci soliton (g, V, e, mu) on these spacetimes when V is a conformal vector field, a torse-forming vector field, or a Ricci bi-conformal vector field.