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

How this entity was disambiguated

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

Referenced by (8)

Full triples — surface form annotated when it differs from this entity's canonical label.

Kruskal–Szekeres coordinates relatedTo Penrose–Carter diagrams
Lorentzian geometry hasKeyConcept Penrose–Carter diagrams
this entity surface form: Penrose diagram
Roger Penrose knownFor Penrose–Carter diagrams
this entity surface form: Penrose diagrams
Reissner–Nordström Penrose diagram relatedTo Penrose–Carter diagrams
this entity surface form: Penrose–Carter diagram
Penrose–Carter diagrams relatedConcept Penrose–Carter diagrams self-linksurface differs
subject surface form: Penrose–Carter diagram
this entity surface form: Penrose diagram
Penrose–Carter diagrams alternativeName Penrose–Carter diagrams
subject surface form: Penrose–Carter diagram
this entity surface form: Penrose diagram
cosmic censorship conjecture relatedTo Penrose–Carter diagrams
this entity surface form: Penrose diagram
Cycles of Time discussesConcept Penrose–Carter diagrams
this entity surface form: Penrose diagrams