The Penrose-Hawking Singularity Theorems are a set of results in general relativity addressing the conditions under which the gravitational collapse of matter must produce a spacetime singularity. Roger Penrose's version, a result in semi-Riemannian geometry, predicts a singularity forming inside a collapsing black hole, while Stephen Hawking's version, built on Penrose's methods, predicts a singularity in the past of an expanding universe consistent with the Big Bang. Penrose shared half of the 2020 Nobel Prize in Physics for the discovery that black hole formation is a robust prediction of general relativity, a result grounded in this theorem.
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StatementA set of results in general relativity that attempt to answer the question of when gravitation produces singularities. 1 Classification
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Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.
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Source Penrose-Hawking singularity theorems (Wikipedia)
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1. Penrose-Hawking singularity theorems (Wikipedia)
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a set of results in general relativity that attempt to answer the question of when gravitation produces singularities.
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