The Penrose-Hawking singularity theorems reference article from the English Wikipedia on 24-Apr-2004
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Penrose-Hawking singularity theorems

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In relativity, there are several versions of the Penrose-Hawking singularity theorem. Most versions state, roughly, that if there is a trapped null surface and the energy density is nonnegative, then there exist geodesics of finite length which can't be extended.