Tek biçimli statik uzay-zamanların kesitsel eğriliği

Curvature related geometric properties of warped product manifolds are given.The casual structure of Lorentzian warped products is reviewed. In particular,two well-known examples of warped product space-times models, i.e, generalizedRobertson-Walker and standard static space-times are studied. The sectionalcurvature of a standard static space-time is established and some conditions areobtained to have nonnegative sectional curvature so that applications of singularity theorems to a standard static space-time can be considered.Keywords: semi-Riemannian geometry, warped products, Generalized RobertsonWalker space-times, Standard Static space-times, sectional curvature, geodesic