Penrose–Carter diagrams
E82076
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.
All labels observed (4)
| Label | Occurrences |
|---|---|
| Penrose diagram | 4 |
| Penrose diagrams | 2 |
| Penrose–Carter diagram | 1 |
| Penrose–Carter diagrams canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T656159 — 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.
Target entity: Penrose–Carter diagrams Context triple: [Kruskal–Szekeres coordinates, relatedTo, Penrose–Carter diagrams]
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A.
Kerr Penrose diagram
The Kerr Penrose diagram is a conformal spacetime diagram depicting the causal structure of a rotating (Kerr) black hole, including its event horizons, ergoregions, and extended regions.
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B.
Schwarzschild Penrose diagram
The Schwarzschild Penrose diagram is a conformal spacetime diagram that compactly represents the causal structure of a non-rotating, uncharged black hole, including its event horizon and singularity.
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C.
Reissner–Nordström Penrose diagram
The Reissner–Nordström Penrose diagram is a causal spacetime diagram depicting the global structure of a charged, non-rotating black hole, including its multiple horizons and extended regions.
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D.
Kruskal–Szekeres coordinates
Kruskal–Szekeres coordinates are a maximal extension coordinate system used in general relativity to smoothly describe the entire spacetime of a Schwarzschild black hole, including regions across the event horizon.
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E.
Eddington–Finkelstein coordinates
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.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Penrose–Carter diagrams Target entity description: 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.
-
A.
Kerr Penrose diagram
The Kerr Penrose diagram is a conformal spacetime diagram depicting the causal structure of a rotating (Kerr) black hole, including its event horizons, ergoregions, and extended regions.
-
B.
Schwarzschild Penrose diagram
The Schwarzschild Penrose diagram is a conformal spacetime diagram that compactly represents the causal structure of a non-rotating, uncharged black hole, including its event horizon and singularity.
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C.
Reissner–Nordström Penrose diagram
The Reissner–Nordström Penrose diagram is a causal spacetime diagram depicting the global structure of a charged, non-rotating black hole, including its multiple horizons and extended regions.
-
D.
Kruskal–Szekeres coordinates
Kruskal–Szekeres coordinates are a maximal extension coordinate system used in general relativity to smoothly describe the entire spacetime of a Schwarzschild black hole, including regions across the event horizon.
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E.
Eddington–Finkelstein coordinates
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.
- F. None of above. chosen
Statements (50)
| Predicate | Object |
|---|---|
| instanceOf |
conformal diagram
ⓘ
spacetime diagram ⓘ tool in general relativity ⓘ |
| alternativeName |
Penrose–Carter diagrams
ⓘ
surface form:
Penrose diagram
|
| appliesTo |
FLRW cosmological models
ⓘ
surface form:
Friedmann–Lemaître–Robertson–Walker cosmologies
Kerr metric ⓘ
surface form:
Kerr spacetime
Minkowski space-time ⓘ
surface form:
Minkowski spacetime
Reissner–Nordström metric ⓘ
surface form:
Reissner–Nordström spacetime
Schwarzschild black hole ⓘ
surface form:
Schwarzschild spacetime
anti-de Sitter space ⓘ
surface form:
anti-de Sitter spacetime
de Sitter spacetime ⓘ |
| basedOn | conformal compactification ⓘ |
| field | general relativity ⓘ |
| namedAfter |
Brandon Carter
ⓘ
Roger Penrose ⓘ |
| property |
angles of null directions are preserved
ⓘ
maps infinite spacetime regions to finite regions ⓘ preserves causal structure under conformal transformation ⓘ |
| relatedConcept |
Cauchy horizon
ⓘ
Penrose–Carter diagrams self-linksurface differs ⓘ
surface form:
Penrose diagram
causal structure of spacetime ⓘ conformal boundary ⓘ conformal transformation ⓘ event horizon ⓘ global structure of solutions to Einstein equations ⓘ null geodesic ⓘ spacelike geodesic ⓘ timelike geodesic ⓘ |
| represents |
event horizons
ⓘ
light cones as 45-degree lines ⓘ null infinity ⓘ singularities ⓘ spacelike infinity ⓘ timelike infinity ⓘ |
| usedFor |
classifying causal boundaries of spacetime
ⓘ
compactifying infinity in spacetime diagrams ⓘ representing global causal structure of spacetime ⓘ studying black hole spacetimes ⓘ studying cosmological models ⓘ visualizing causal relationships between events ⓘ |
| usedIn |
black hole physics
ⓘ
cosmology ⓘ mathematical relativity ⓘ theoretical physics ⓘ |
| visualizes |
Cauchy surfaces
ⓘ
causal future of an event ⓘ causal past of an event ⓘ domains of dependence ⓘ maximally extended black hole solutions ⓘ wormhole-like connections in extended solutions ⓘ |
How these facts were elicited
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Subject: Penrose–Carter diagrams Description of subject: 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.
Referenced by (8)
Full triples — surface form annotated when it differs from this entity's canonical label.