Cauchy horizon

E340280

boundary in spacetime concept in general relativity null hypersurface

A Cauchy horizon is a lightlike boundary in certain spacetime solutions of general relativity, such as rotating black holes, beyond which the deterministic evolution from initial data breaks down.

Try in SPARQL Jump to: Surface forms Statements Referenced by

All labels observed (3)

Label	Occurrences
Cauchy horizon canonical	2
future Cauchy horizon	1
null Cauchy horizon	1

Statements (45)

Predicate	Object
instanceOf	boundary in spacetime ⓘ concept in general relativity ⓘ null hypersurface ⓘ
appearsIn	exact analytic solutions of Einstein field equations ⓘ
associatedWith	blue-shift of infalling radiation ⓘ inner horizon of Kerr black hole ⓘ inner horizon of Reissner–Nordström black hole ⓘ mass inflation instability ⓘ
canBe	Cauchy horizon self-linksurface differs ⓘ surface form: future Cauchy horizon past Cauchy horizon ⓘ
characterizedBy	breakdown of global hyperbolicity beyond it ⓘ failure of unique evolution from initial data beyond it ⓘ
contrastedWith	apparent horizon ⓘ event horizon ⓘ
defines	limit of deterministic evolution from Cauchy data ⓘ
field	general relativity ⓘ
generatedBy	null geodesics ⓘ
hasConsequence	loss of predictability beyond the horizon ⓘ possible non-uniqueness of spacetime extensions ⓘ potential violation of determinism in classical general relativity ⓘ
hasProperty	boundary of domain of dependence ⓘ lightlike ⓘ null ⓘ
hasType	Cauchy horizon self-linksurface differs ⓘ surface form: null Cauchy horizon weak null singularity (in some models) ⓘ
implies	spacetime is not globally hyperbolic ⓘ
isBoundaryOf	maximal Cauchy development of initial data ⓘ
mathematicallyDefinedAs	boundary of the domain of dependence of a partial Cauchy surface ⓘ
namedAfter	Augustin-Louis Cauchy ⓘ surface form: Augustin-Louis Cauchy (via Cauchy problem terminology)
occursIn	Kerr metric ⓘ surface form: Kerr spacetime Kerr–Newman black hole ⓘ surface form: Kerr–Newman spacetime Reissner–Nordström metric ⓘ surface form: Reissner–Nordström spacetime certain cosmological models ⓘ charged black hole solutions ⓘ rotating black hole solutions ⓘ
relatedTo	Cauchy surface ⓘ cosmic censorship conjecture ⓘ domain of dependence ⓘ global hyperbolicity ⓘ strong cosmic censorship conjecture ⓘ
requires	existence of a partial Cauchy surface ⓘ
studiedInContextOf	black hole interiors ⓘ gravitational collapse ⓘ stability analysis of spacetime solutions ⓘ
topologically	three-dimensional hypersurface in four-dimensional spacetime ⓘ

Referenced by (4)

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

Kerr Penrose diagram → includes → Cauchy horizon ⓘ

Penrose–Carter diagrams → relatedConcept → Cauchy horizon ⓘ

subject surface form: Penrose–Carter diagram

Cauchy horizon → canBe → Cauchy horizon self-linksurface differs ⓘ

this entity surface form: future Cauchy horizon

Cauchy horizon → hasType → Cauchy horizon self-linksurface differs ⓘ

this entity surface form: null Cauchy horizon