Eddington–Finkelstein coordinates
E10764
Eddington–Finkelstein coordinate system
coordinate system in general relativity
spacetime coordinate chart
Eddington–Finkelstein coordinates are a coordinate system in general relativity that smoothly covers a black hole’s event horizon, avoiding the coordinate singularity present in standard Schwarzschild coordinates.
All labels observed (3)
| Label | Occurrences |
|---|---|
| Eddington–Finkelstein coordinates canonical | 7 |
| ingoing Eddington–Finkelstein coordinates | 1 |
| outgoing Eddington–Finkelstein coordinates | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T65782 — 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: Eddington–Finkelstein coordinates Context triple: [Schwarzschild black hole, alternativeCoordinates, Eddington–Finkelstein coordinates]
-
A.
Schwarzschild black hole
A Schwarzschild black hole is the simplest theoretical black hole solution in general relativity, describing a static, spherically symmetric, non-rotating, uncharged mass with an event horizon defined by the Schwarzschild radius.
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B.
Oppenheimer–Snyder model
The Oppenheimer–Snyder model is a pioneering theoretical description of gravitational collapse in general relativity, providing one of the first rigorous treatments of how a massive star can form a black hole.
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C.
Schwarzschild radius
The Schwarzschild radius is the critical distance from the center of a non-rotating, spherically symmetric mass at which its escape velocity equals the speed of light, defining the boundary of a black hole.
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D.
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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E.
Minkowski space-time
Minkowski space-time is a four-dimensional geometric framework that unifies three-dimensional space and time into a single continuum used to describe events and motion in special relativity.
- 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: Eddington–Finkelstein coordinates Target entity description: Eddington–Finkelstein coordinates are a coordinate system in general relativity that smoothly covers a black hole’s event horizon, avoiding the coordinate singularity present in standard Schwarzschild coordinates.
-
A.
Schwarzschild black hole
A Schwarzschild black hole is the simplest theoretical black hole solution in general relativity, describing a static, spherically symmetric, non-rotating, uncharged mass with an event horizon defined by the Schwarzschild radius.
-
B.
Oppenheimer–Snyder model
The Oppenheimer–Snyder model is a pioneering theoretical description of gravitational collapse in general relativity, providing one of the first rigorous treatments of how a massive star can form a black hole.
-
C.
Schwarzschild radius
The Schwarzschild radius is the critical distance from the center of a non-rotating, spherically symmetric mass at which its escape velocity equals the speed of light, defining the boundary of a black hole.
-
D.
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.
-
E.
Minkowski space-time
Minkowski space-time is a four-dimensional geometric framework that unifies three-dimensional space and time into a single continuum used to describe events and motion in special relativity.
- F. None of above. chosen
Statements (51)
| Predicate | Object |
|---|---|
| instanceOf |
Eddington–Finkelstein coordinate system
ⓘ
Eddington–Finkelstein coordinate system ⓘ coordinate system in general relativity ⓘ spacetime coordinate chart ⓘ |
| appliesTo | non-rotating uncharged black holes ⓘ |
| category |
Lorentzian geometry
ⓘ
black hole coordinates ⓘ |
| coordinateSymbols |
(u, r, θ, φ)
ⓘ
(v, r, θ, φ) ⓘ |
| coordinateType |
null coordinate system
ⓘ
spherical symmetry adapted coordinates ⓘ |
| definedOn |
Schwarzschild spacetime
ⓘ
linked to:
Schwarzschild black hole
|
| dimension | 4 ⓘ |
| eventHorizonRadiusSymbol | r = 2M ⓘ |
| generalizationOf | Eddington’s original coordinates for the Schwarzschild solution ⓘ |
| hasVariant |
ingoing Eddington–Finkelstein coordinates
ⓘ
linked to:
Eddington–Finkelstein coordinates
outgoing Eddington–Finkelstein coordinates ⓘ
linked to:
Eddington–Finkelstein coordinates
|
| helpsExplain |
infall of light and matter across the event horizon
ⓘ
one-way nature of classical black hole event horizons ⓘ |
| historicalDevelopment |
Eddington introduced a form of the coordinates in the 1920s
ⓘ
Finkelstein clarified their causal interpretation in 1958 ⓘ |
| introducedFor |
clarifying the nature of the Schwarzschild radius
ⓘ
showing that the Schwarzschild radius is not a physical singularity ⓘ |
| mainCoordinateSymbol |
u
ⓘ
v ⓘ |
| metricSignature | (-,+,+,+) ⓘ |
| namedAfter |
Arthur Stanley Eddington
ⓘ
David Finkelstein ⓘ |
| property |
adapted to radial null geodesics
ⓘ
metric contains off-diagonal term in dv dr or du dr ⓘ non-static metric form ⓘ regular at the event horizon ⓘ remove the coordinate singularity at r = 2M in Schwarzschild coordinates ⓘ |
| relatedTo |
Kruskal–Szekeres coordinates
ⓘ
Painlevé–Gullstrand coordinates ⓘ Schwarzschild coordinates ⓘ null coordinates ⓘ |
| timeCoordinateType |
advanced time
ⓘ
advanced time ⓘ retarded time ⓘ retarded time ⓘ |
| underlyingTheory | general relativity ⓘ |
| usedFor |
analyzing radial null geodesics
ⓘ
describing Schwarzschild black holes ⓘ describing spacetime near a black hole event horizon ⓘ extending Schwarzschild solution across the event horizon ⓘ removing coordinate singularities at the event horizon ⓘ studying causal structure of black hole spacetimes ⓘ |
| usedIn |
Penrose diagram constructions for Schwarzschild spacetime
ⓘ
discussions of gravitational collapse ⓘ textbooks on general relativity ⓘ |
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: Eddington–Finkelstein coordinates Description of subject: Eddington–Finkelstein coordinates are a coordinate system in general relativity that smoothly covers a black hole’s event horizon, avoiding the coordinate singularity present in standard Schwarzschild coordinates.
Referenced by (9)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Eddington–Finkelstein coordinates
linked to: Eddington–Finkelstein coordinates