Carter constant
E788877
The Carter constant is a conserved quantity in general relativity that allows the complete integrability of geodesic motion in the Kerr spacetime around a rotating black hole.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Carter constant canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T9277424 — 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: Carter constant Context triple: [Brandon Carter, knownFor, Carter constant]
-
A.
Euler–Mascheroni constant γ
The Euler–Mascheroni constant γ is a mathematical constant that arises in analysis and number theory, defined as the limiting difference between the harmonic series and the natural logarithm.
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B.
Gauss’s constant
Gauss’s constant is a mathematical constant arising in number theory and complex analysis, particularly in connection with the lemniscate and elliptic functions.
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C.
Eddington number
The Eddington number is a dimensionless quantity in astrophysics that represents the maximum luminosity a star can have before radiation pressure overcomes gravitational attraction, leading to mass loss.
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D.
Khinchin's constant
Khinchin's constant is a mathematical constant that arises in metric number theory, describing the almost-sure geometric mean of the partial quotients in the continued fraction expansions of real numbers.
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E.
Chaplygin C
Chaplygin C is a small satellite impact crater on the Moon located near the larger Chaplygin crater on the lunar far side.
- 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: Carter constant Target entity description: The Carter constant is a conserved quantity in general relativity that allows the complete integrability of geodesic motion in the Kerr spacetime around a rotating black hole.
-
A.
Euler–Mascheroni constant γ
The Euler–Mascheroni constant γ is a mathematical constant that arises in analysis and number theory, defined as the limiting difference between the harmonic series and the natural logarithm.
-
B.
Gauss’s constant
Gauss’s constant is a mathematical constant arising in number theory and complex analysis, particularly in connection with the lemniscate and elliptic functions.
-
C.
Eddington number
The Eddington number is a dimensionless quantity in astrophysics that represents the maximum luminosity a star can have before radiation pressure overcomes gravitational attraction, leading to mass loss.
-
D.
Khinchin's constant
Khinchin's constant is a mathematical constant that arises in metric number theory, describing the almost-sure geometric mean of the partial quotients in the continued fraction expansions of real numbers.
-
E.
Chaplygin C
Chaplygin C is a small satellite impact crater on the Moon located near the larger Chaplygin crater on the lunar far side.
- F. None of above. chosen
Statements (42)
| Predicate | Object |
|---|---|
| instanceOf |
conserved quantity
ⓘ
constant of motion ⓘ hidden symmetry ⓘ physical quantity ⓘ |
| appearsIn |
Hamilton–Jacobi formalism
ⓘ
linked to:
Hamilton–Jacobi equation
Kerr metric analysis ⓘ geodesic equations in Boyer–Lindquist coordinates ⓘ |
| appliesTo |
geodesic motion
ⓘ
photon trajectories ⓘ test particle motion ⓘ |
| arisesFrom | second-rank Killing tensor ⓘ |
| associatedWith |
Killing tensor symmetry
ⓘ
rotating black holes ⓘ |
| category |
Black hole physics
ⓘ
Conservation laws ⓘ General relativity ⓘ
linked to:
general relativity
Mathematical physics ⓘ |
| definedIn |
Kerr spacetime
ⓘ
linked to:
Kerr metric
|
| dependsOn |
particle four-momentum
ⓘ
polar angle coordinate ⓘ spacetime metric ⓘ |
| discoveredBy | Brandon Carter ⓘ |
| distinctFrom |
azimuthal angular momentum
ⓘ
energy ⓘ |
| enables |
complete integrability of geodesic equations
ⓘ
separation of geodesic equations ⓘ separation of the Hamilton–Jacobi equation ⓘ |
| field | general relativity ⓘ |
| generalizes | total angular momentum squared in spherically symmetric spacetimes ⓘ |
| independentOf |
azimuthal coordinate
ⓘ
time coordinate ⓘ |
| mathematicalForm | quadratic in momenta ⓘ |
| namedAfter | Brandon Carter ⓘ |
| relatedTo |
angular momentum conservation
ⓘ
energy conservation ⓘ integrability of dynamical systems ⓘ |
| usedFor |
classifying bound orbits around Kerr black holes
ⓘ
ray-tracing in Kerr spacetime ⓘ studying black hole accretion flows ⓘ studying gravitational wave sources from extreme mass-ratio inspirals ⓘ |
| validIn | stationary axisymmetric vacuum solutions ⓘ |
| yearProposed | 1968 ⓘ |
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: Carter constant Description of subject: The Carter constant is a conserved quantity in general relativity that allows the complete integrability of geodesic motion in the Kerr spacetime around a rotating black hole.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.