Schwarzschild Penrose diagram

E12689

Penrose diagram causal structure representation conformal spacetime 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.

Statements (47)

Predicate	Object
instanceOf	Penrose diagram → causal structure representation → conformal spacetime diagram →
appliesTo	non-rotating uncharged black hole → spherically symmetric vacuum solution →
assumes	maximal analytic extension of Schwarzschild solution →
basedOn	Einstein field equations → Schwarzschild metric →
clarifies	global causal relationships in Schwarzschild spacetime → reachability of regions by causal curves →
contrastsWith	Kerr Penrose diagram → Reissner–Nordström Penrose diagram →
describes	Schwarzschild spacetime → non-rotating black hole → uncharged black hole →
domain	gravitational theory → theoretical physics →
feature	Einstein–Rosen bridge → null infinity labeled as script I plus and script I minus → spacelike infinity labeled i0 → timelike infinity labeled i plus and i minus → two distinct exterior regions →
introducedBy	Roger Penrose →
represents	causal structure of Schwarzschild black hole → event horizon of Schwarzschild black hole → null infinity → spacelike infinity → spacelike singularity of Schwarzschild black hole → timelike infinity →
shows	black hole interior region → event horizon as null surface → exterior asymptotically flat region → impossibility of entering white hole region from outside → impossibility of escaping from inside event horizon → maximally extended Schwarzschild solution → possible null geodesics → possible timelike worldlines → second asymptotically flat region → singularity as spacelike boundary → white hole region →
usedIn	black hole physics → causal structure analysis → general relativity → mathematical relativity →
uses	conformal compactification → lightlike coordinate lines at 45 degrees → null coordinates →

Referenced by (3)

Subject (surface form when different)	Predicate
Kerr Penrose diagram → Reissner–Nordström Penrose diagram →	relatedTo
Schwarzschild black hole →	hasPenroseDiagram