On local and global aspects of the Cauchy problem in general relativity

DOI10.1088/0264-9381/16/8/201zbMath0944.83001OpenAlexW2094606277MaRDI QIDQ4701100

Francesco Nicolò, Sergiu Klainerman

Publication date: 21 November 1999

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0264-9381/16/8/201

zbMATH Keywords

Cauchy problemlocal existenceglobal existencespacetime singularitiesgeneral relativityEinstein's vacuum field equationreview articleasymptotically flat solutionsChristodoulou-Klainerman theoremglobal stability of Minkowski spacemaximal spacelike foliationoptical function

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory (83-02) Space-time singularities, cosmic censorship, etc. (83C75) PDEs in connection with relativity and gravitational theory (35Q75) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Propagation of singularities; initial value problems on manifolds (58J47)

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