Gödel metric
E100623
Lorentzian metric
cosmological model
exact solution of Einstein field equations
rotating universe solution
The Gödel metric is a solution to Einstein's field equations that describes a rotating universe allowing for closed timelike curves and thus the theoretical possibility of time travel.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Gödel metric canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T839948 — 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: Gödel metric Context triple: [Kurt Gödel, notableWork, Gödel metric]
-
A.
Reissner–Nordström metric
The Reissner–Nordström metric is an exact solution in general relativity describing the spacetime geometry outside a static, spherically symmetric, electrically charged black hole.
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B.
Kerr metric
The Kerr metric is the exact general relativity solution describing the spacetime geometry around a rotating, uncharged black hole.
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C.
Schwarzschild
Schwarzschild is a German surname most famously associated with physicist Karl Schwarzschild, known for his exact solution to Einstein’s field equations describing black holes.
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D.
Painlevé–Gullstrand coordinates
Painlevé–Gullstrand coordinates are a coordinate system for the Schwarzschild black hole that is regular at the event horizon and represents spacetime as seen by freely falling observers.
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E.
Kerr–Schild coordinates
Kerr–Schild coordinates are a coordinate system used to express the Kerr spacetime metric in a form that highlights its structure as a perturbation of flat Minkowski space along a principal null direction.
- 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: Gödel metric Target entity description: The Gödel metric is a solution to Einstein's field equations that describes a rotating universe allowing for closed timelike curves and thus the theoretical possibility of time travel.
-
A.
Reissner–Nordström metric
The Reissner–Nordström metric is an exact solution in general relativity describing the spacetime geometry outside a static, spherically symmetric, electrically charged black hole.
-
B.
Kerr metric
The Kerr metric is the exact general relativity solution describing the spacetime geometry around a rotating, uncharged black hole.
-
C.
Schwarzschild
Schwarzschild is a German surname most famously associated with physicist Karl Schwarzschild, known for his exact solution to Einstein’s field equations describing black holes.
-
D.
Painlevé–Gullstrand coordinates
Painlevé–Gullstrand coordinates are a coordinate system for the Schwarzschild black hole that is regular at the event horizon and represents spacetime as seen by freely falling observers.
-
E.
Kerr–Schild coordinates
Kerr–Schild coordinates are a coordinate system used to express the Kerr spacetime metric in a form that highlights its structure as a perturbation of flat Minkowski space along a principal null direction.
- F. None of above. chosen
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
Lorentzian metric
ⓘ
cosmological model ⓘ exact solution of Einstein field equations ⓘ rotating universe solution ⓘ |
| allows | closed timelike curves ⓘ |
| appearsIn |
discussions of global properties of spacetime
ⓘ
literature on time travel in general relativity ⓘ |
| contrastsWith |
FLRW cosmological models
ⓘ
surface form:
Friedmann–Lemaître–Robertson–Walker metric
|
| coordinateSystem | comoving coordinates with rotating dust ⓘ |
| definedOn | four-dimensional spacetime ⓘ |
| describes | homogeneous rotating universe ⓘ |
| exhibits |
closed null curves at the boundary of causal regions
ⓘ
nontrivial causal structure ⓘ |
| hasCosmologicalConstant | negative ⓘ |
| hasCurvature | constant scalar curvature ⓘ |
| hasFeature |
no global Cauchy surface
ⓘ
violation of global hyperbolicity ⓘ |
| hasMatterContent | pressureless dust with constant density ⓘ |
| hasProperty |
anisotropic
ⓘ
geodesically complete ⓘ non-causal structure due to closed timelike curves ⓘ non-expanding ⓘ rotating ⓘ spatially homogeneous ⓘ stationary ⓘ |
| hasSymmetry | five-dimensional isometry group ⓘ |
| implies |
global rotation of the universe
ⓘ
theoretical possibility of time travel ⓘ |
| influenced | philosophical discussions of time and determinism ⓘ |
| introducedBy | Kurt Gödel ⓘ |
| namedAfter | Kurt Gödel ⓘ |
| publishedIn | Reviews of Modern Physics ⓘ |
| relatedTo |
Bianchi type cosmologies
ⓘ
causality violation ⓘ cosmology ⓘ general relativity ⓘ rotating cosmological models ⓘ time travel in physics ⓘ |
| satisfies |
Einstein field equations with cosmological constant
ⓘ
energy conditions for dust with cosmological constant ⓘ |
| solutionOf | Einstein field equations with dust and negative cosmological constant ⓘ |
| usedAs |
example of spacetime with closed timelike curves
ⓘ
toy model for studying causality in general relativity ⓘ |
| uses |
cosmological constant
ⓘ
pressureless dust as matter content ⓘ |
| yearIntroduced | 1949 ⓘ |
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: Gödel metric Description of subject: The Gödel metric is a solution to Einstein's field equations that describes a rotating universe allowing for closed timelike curves and thus the theoretical possibility of time travel.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.