Sectional curvature of standard static space-times
Yavuz, Bengi Ruken
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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, generalized Robertson-Walker and standard static space-times are studied. The sectional curvature of a standard static space-time is established and some conditions are obtained to have nonnegative sectional curvature so that applications of singularity theorems to a standard static space-time can be considered.
Generalized RobertsonWalker space-times
Standard Static space-times