Hawking–Penrose singularity theorems
E327453
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.
All labels observed (4)
| Label | Occurrences |
|---|---|
| Hawking–Penrose singularity theorems canonical | 4 |
| Penrose–Hawking singularity theorems | 2 |
| Hawking cosmological singularity theorems | 1 |
| Hawking singularity theorem | 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.
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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.
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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 cosmological singularity theorems
ⓘ
linked to:
Hawking–Penrose 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
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: Hawking–Penrose singularity theorems Description of subject: 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.
Referenced by (8)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Hawking–Penrose singularity theorems
linked to: Hawking–Penrose singularity theorems
linked to: Hawking–Penrose singularity theorems
linked to: Hawking–Penrose singularity theorems