Shenawy, S.Ünal, B.2016-02-082016-02-0820150129-167Xhttp://hdl.handle.net/11693/24514This paper provides a study of 2-Killing vector fields on warped product manifolds as well as characterization of this structure on standard static and generalized Robertson-Walker space-times. Some conditions for a 2-Killing vector field on a warped product manifold to be parallel are obtained. Moreover, some results on the curvature of a warped product manifolds in terms of 2-Killing vector fields are derived. Finally, we apply our results to describe 2-Killing vector fields of some well-known warped product space-time models. © 2015 World Scientific Publishing Company.English2-Killing vector fieldParallel vector fieldsStandard static space-time and generalized Robertson-Walker space-timeWarped product manifold53C2153C2553C5053C80Article10.1142/S0129167X155006521793-6519