Hawking–Penrose singularity theorems

E327453

result in general relativity singularity theorem

The Hawking–Penrose singularity theorems are foundational results in general relativity that show, under broad physical conditions, spacetime must contain singularities such as those inside black holes or at the Big Bang.

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All labels observed (3)

Label	Occurrences
Hawking–Penrose singularity theorems canonical	2
Penrose–Hawking singularity theorems	2
Hawking cosmological singularity theorems	1

How this entity was disambiguated

This entity first appeared as the object of triple T3096208 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07

Target entity: Hawking–Penrose singularity theorems
Context triple: [Lorentzian geometry, hasKeyConcept, Hawking–Penrose singularity theorems]

A. The Mathematical Theory of Black Holes
The Mathematical Theory of Black Holes is a landmark monograph that presents a rigorous, comprehensive treatment of the physics and mathematics underlying black hole solutions in general relativity.
B. “The four laws of black hole mechanics”
“The four laws of black hole mechanics” is a foundational 1973 paper in theoretical physics that established the analogy between black hole dynamics and the laws of thermodynamics, laying the groundwork for black hole thermodynamics.
C. Black Holes and Baby Universes and Other Essays
Black Holes and Baby Universes and Other Essays is a 1993 collection of popular-science essays and reflections by physicist Stephen Hawking, exploring cosmology, black holes, and his personal life and ideas.
D. Penrose–Carter diagrams
Penrose–Carter diagrams are spacetime diagrams used in general relativity that compactify infinity to depict the global causal structure of solutions like black holes and cosmological models.
E. Bardeen black hole model
The Bardeen black hole model is a theoretical proposal of a regular (non-singular) black hole solution in general relativity that avoids the central singularity by coupling gravity to nonlinear electrodynamics.
F. None of above. chosen
G. Unsure - the case is ambiguous/there is not enough information to decide.

NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07

Target entity: Hawking–Penrose singularity theorems
Target entity description: The Hawking–Penrose singularity theorems are foundational results in general relativity that show, under broad physical conditions, spacetime must contain singularities such as those inside black holes or at the Big Bang.

A. The Mathematical Theory of Black Holes
The Mathematical Theory of Black Holes is a landmark monograph that presents a rigorous, comprehensive treatment of the physics and mathematics underlying black hole solutions in general relativity.
B. “The four laws of black hole mechanics”
“The four laws of black hole mechanics” is a foundational 1973 paper in theoretical physics that established the analogy between black hole dynamics and the laws of thermodynamics, laying the groundwork for black hole thermodynamics.
C. Black Holes and Baby Universes and Other Essays
Black Holes and Baby Universes and Other Essays is a 1993 collection of popular-science essays and reflections by physicist Stephen Hawking, exploring cosmology, black holes, and his personal life and ideas.
D. Penrose–Carter diagrams
Penrose–Carter diagrams are spacetime diagrams used in general relativity that compactify infinity to depict the global causal structure of solutions like black holes and cosmological models.
E. Bardeen black hole model
The Bardeen black hole model is a theoretical proposal of a regular (non-singular) black hole solution in general relativity that avoids the central singularity by coupling gravity to nonlinear electrodynamics.
F. None of above. chosen

Statements (47)

Predicate	Object
instanceOf	result in general relativity ⓘ singularity theorem ⓘ
appliesTo	Lorentzian manifold ⓘ classical spacetime ⓘ
assumes	energy conditions ⓘ existence of trapped surfaces in some versions ⓘ generic condition ⓘ global hyperbolicity or related causal conditions ⓘ non-compact Cauchy surfaces in some versions ⓘ null energy condition ⓘ strong energy condition ⓘ
basedOn	Einstein field equations ⓘ
characterizes	conditions for spacetime singularities ⓘ
clarifies	conditions under which general relativity predicts its own breakdown ⓘ
consequence	Big Bang singularity under broad conditions ⓘ inevitability of singularities in realistic collapse models ⓘ singularities are generic in general relativity ⓘ singularities do not require exact symmetry ⓘ
describedIn	The Large Scale Structure of Space-Time ⓘ
developedBy	Roger Penrose ⓘ Stephen Hawking ⓘ
field	general relativity ⓘ gravitational physics ⓘ mathematical physics ⓘ
formalism	Raychaudhuri equation ⓘ global techniques in Lorentzian geometry ⓘ
hasPart	Hawking–Penrose singularity theorems self-linksurface differs ⓘ surface form: Hawking cosmological singularity theorems Penrose singularity theorem ⓘ
implies	existence of incomplete causal geodesics ⓘ existence of spacetime singularities ⓘ
influenced	black hole physics ⓘ cosmology ⓘ modern mathematical relativity ⓘ
mainSubject	Big Bang ⓘ black hole ⓘ spacetime singularity ⓘ
motivated	search for quantum gravity ⓘ study of cosmic censorship conjecture ⓘ
namedAfter	Roger Penrose ⓘ Stephen Hawking ⓘ
relatesTo	black hole formation ⓘ cosmological expansion ⓘ gravitational collapse ⓘ initial cosmological singularity ⓘ
timePeriod	1960s ⓘ
uses	causal structure of spacetime ⓘ geodesic incompleteness ⓘ

How these facts were elicited

Referenced by (5)

Full triples — surface form annotated when it differs from this entity's canonical label.

Lorentzian geometry → hasKeyConcept → Hawking–Penrose singularity theorems ⓘ

Roger Penrose → knownFor → Hawking–Penrose singularity theorems ⓘ

this entity surface form: Penrose–Hawking singularity theorems

Hawking–Penrose singularity theorems → hasPart → Hawking–Penrose singularity theorems self-linksurface differs ⓘ

this entity surface form: Hawking cosmological singularity theorems

Raychaudhuri equation → usedIn → Hawking–Penrose singularity theorems ⓘ

conformal cyclic cosmology → relatedTo → Hawking–Penrose singularity theorems ⓘ