We consider Einstein hypersurfaces of warped products $$I\times _\omega {\mathbb {Q}}_\epsilon ^n,$$ where $$I\subset {R}}$$ is an open interval and $${\mathbb ^n$$ the simply connected space form dimension $$n\ge 2$$ constant sectional curvature $$\epsilon \in \{-1,0,1\}$$ . show that, for all $$c\in (resp. $$c>0$$ ), there exist rotational c in {H}}^n$$ {R}}^n$$ {S}}^n$$ provided that $$\omeg...