Abstract
It is shown that the proofs of a series of classical singularity theorems of general relativity can be modified such that these theorems also state the maximality of the incomplete nonspacelike geodesics. Since along maximal incomplete nonspacelike geodesics with affine parameter u certain parts of the tidal curvature cannot blow up faster than (ū−u)−2, where ū is the parameter value until which the geodesics cannot be extended, the classical singularity theorems do restrict the behavior of the curvature.
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