Penrose singularity theorem
E1018070
The Penrose singularity theorem is a fundamental result in general relativity showing that, under physically reasonable conditions such as gravitational collapse, spacetime must contain singularities where classical physics breaks down.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Gravitational Collapse and Space-Time Singularities | 1 |
| Penrose singularity theorem canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T13051336 — 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: Penrose singularity theorem Context triple: [Hawking–Penrose singularity theorems, hasPart, Penrose singularity theorem]
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A.
Hawking–Penrose singularity theorems
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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B.
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.
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C.
Zeldovich–Novikov theory of black holes
The Zeldovich–Novikov theory of black holes is a foundational theoretical framework that analyzes the formation, structure, and astrophysical properties of black holes within the context of general relativity and high-energy astrophysics.
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D.
The Large Scale Structure of Space-Time
The Large Scale Structure of Space-Time is a seminal 1973 monograph by Stephen Hawking and George Ellis that rigorously develops the mathematical foundations of general relativity and the global properties of cosmological models.
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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: Penrose singularity theorem Target entity description: The Penrose singularity theorem is a fundamental result in general relativity showing that, under physically reasonable conditions such as gravitational collapse, spacetime must contain singularities where classical physics breaks down.
-
A.
Hawking–Penrose singularity theorems
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.
-
B.
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.
-
C.
Zeldovich–Novikov theory of black holes
The Zeldovich–Novikov theory of black holes is a foundational theoretical framework that analyzes the formation, structure, and astrophysical properties of black holes within the context of general relativity and high-energy astrophysics.
-
D.
The Large Scale Structure of Space-Time
The Large Scale Structure of Space-Time is a seminal 1973 monograph by Stephen Hawking and George Ellis that rigorously develops the mathematical foundations of general relativity and the global properties of 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 mathematical physics
ⓘ
singularity theorem ⓘ theorem in general relativity ⓘ |
| appliesTo |
Lorentzian manifolds
ⓘ
linked to:
Lorentzian geometry
spacetimes satisfying Einstein field equations ⓘ |
| assumes |
classical general relativity is valid
ⓘ
existence of a closed trapped surface ⓘ existence of a non-compact Cauchy surface or appropriate causality conditions ⓘ global hyperbolicity is violated by trapped surface formation ⓘ null energy condition ⓘ |
| author | Roger Penrose ⓘ |
| concludes |
breakdown of classical spacetime description
ⓘ
existence of singularities in spacetime ⓘ spacetime is null geodesically incomplete ⓘ |
| countryOfOrigin | United Kingdom ⓘ |
| describedAs | first rigorous proof of generic singularity formation in gravitational collapse ⓘ |
| field |
differential geometry
ⓘ
general relativity ⓘ gravitational physics ⓘ mathematical relativity ⓘ |
| implies |
black hole formation leads to geodesic incompleteness
ⓘ
singularities form in gravitational collapse under generic conditions ⓘ |
| influenced |
development of modern black hole theory
ⓘ
research on quantum gravity ⓘ study of global properties of spacetime ⓘ |
| language | English ⓘ |
| motivationFor |
cosmic censorship hypothesis
ⓘ
linked to:
cosmic censorship conjecture
|
| namedAfter | Roger Penrose ⓘ |
| originalTitle |
Gravitational Collapse and Space-Time Singularities
ⓘ
linked to:
Penrose singularity theorem
|
| publishedIn | Physical Review Letters ⓘ |
| relatedTo |
Hawking singularity theorem
ⓘ
linked to:
Hawking–Penrose singularity theorems
Hawking–Penrose singularity theorems ⓘ black hole physics ⓘ cosmic censorship conjecture ⓘ gravitational collapse ⓘ |
| requires |
Einstein field equations with reasonable matter content
ⓘ
smooth spacetime manifold ⓘ |
| status | widely accepted in classical general relativity ⓘ |
| topic |
causal structure
ⓘ
geodesic incompleteness ⓘ spacetime singularities ⓘ |
| usesConcept |
Raychaudhuri equation
ⓘ
causal structure of spacetime ⓘ global techniques in Lorentzian geometry ⓘ null geodesic congruence ⓘ trapped surface ⓘ |
| yearProved | 1965 ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Penrose singularity theorem Description of subject: The Penrose singularity theorem is a fundamental result in general relativity showing that, under physically reasonable conditions such as gravitational collapse, spacetime must contain singularities where classical physics breaks down.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Penrose singularity theorem