Abstract In this paper we study hyperbolic Ricci solitons on doubly warped
product manifolds. The necessary conditions are obtained for a hyperbolic
Ricci soliton with the structure of a doubly warped product to be an Einstein
manifold when we consider the potential field as a Killing or a conformal vector
field. Also, we examined the behavior of hyperbolic Ricci solitons on doubly
warped product space-times.