Penrose–Carter diagrams

E82076

conformal diagram spacetime diagram tool in general relativity

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.

Aliases (3)

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 → 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 →

Referenced by (6)

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

Penrose–Carter diagrams → alternativeName → Penrose–Carter diagrams →

subject surface form: "Penrose–Carter diagram"

this entity surface form: "Penrose diagram"

Lorentzian geometry → hasKeyConcept → Penrose–Carter diagrams →

this entity surface form: "Penrose diagram"

Roger Penrose → knownFor → Penrose–Carter diagrams →

this entity surface form: "Penrose diagrams"

Penrose–Carter diagrams → relatedConcept → Penrose–Carter diagrams →

subject surface form: "Penrose–Carter diagram"

this entity surface form: "Penrose diagram"

Kruskal–Szekeres coordinates → relatedTo → Penrose–Carter diagrams →

Reissner–Nordström Penrose diagram → relatedTo → Penrose–Carter diagrams →

this entity surface form: "Penrose–Carter diagram"