The Cauchy Problem in General Relativity

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:analyzes gptkb:Yvonne_Choquet-Bruhat
gptkbp:concerns initial value formulation
gptkbp:dateOfFirstWellPosedness 1952
gptkbp:field gptkb:general_relativity
gptkbp:firstWellPosedBy gptkb:Yvonne_Choquet-Bruhat
https://www.w3.org/2000/01/rdf-schema#label The Cauchy Problem in General Relativity
gptkbp:importantFor numerical relativity
predictability in general relativity
gptkbp:involves evolution equations
constraint equations
gptkbp:relatedTo gptkb:Einstein_field_equations
gptkb:ADM_formalism
global hyperbolicity
initial data constraints
local existence and uniqueness
well-posedness
gptkbp:requires initial data on a spacelike hypersurface
specification of metric and extrinsic curvature
gptkbp:solvedBy partial differential equations
gptkbp:studies evolution of spacetime
gptkbp:bfsParent gptkb:Yvonne_Choquet-Bruhat
gptkbp:bfsLayer 7