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On the regular and the asymptotic characteristic initial value problem for Einstein’s vacuum field equations. (English) Zbl 0454.58017

MSC:
58J45 Hyperbolic equations on manifolds
35B40 Asymptotic behavior of solutions to PDEs
53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
35L30 Initial value problems for higher-order hyperbolic equations
58J90 Applications of PDEs on manifolds
53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics
83C05 Einstein’s equations (general structure, canonical formalism, Cauchy problems)
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