Matches in SemOpenAlex for { <https://semopenalex.org/work/W3100457643> ?p ?o ?g. }
- W3100457643 endingPage "321" @default.
- W3100457643 startingPage "303" @default.
- W3100457643 abstract "This article, written to appear as a chapter in The Springer Handbook of Spacetime, is a review of the initial value problem for Einstein's gravitational field theory in general relativity. Designed to be accessible to graduate students who have taken a first course in general relativity, the article first discusses how to reformulate the spacetime fields and spacetime covariant field equations of Einstein's theory in terms of fields and field equations compatible with a 3+1 foliation of spacetime with spacelike hypersurfaces. It proceeds to discuss the arguments which show that the initial value problem for Einstein's theory is well-posed, in the sense that for any given set of initial data satisfying the Einstein constraint equations, there is a (maximal) spacetime solution of the full set of Einstein equations, compatible with the given set of data. The article then describes how to generate initial data sets which satisfy the Einstein constraints, using the conformal (and conformal thin sandwich) method, and using gluing techniques. The article concludes with comments regarding stability and long term behavior of solutions of Einstein's equations generated via the initial value problem." @default.
- W3100457643 created "2020-11-23" @default.
- W3100457643 creator A5002819835 @default.
- W3100457643 date "2014-01-01" @default.
- W3100457643 modified "2023-10-09" @default.
- W3100457643 title "The Initial Value Problem in General Relativity" @default.
- W3100457643 cites W1498392140 @default.
- W3100457643 cites W1607490296 @default.
- W3100457643 cites W1661365455 @default.
- W3100457643 cites W1855169650 @default.
- W3100457643 cites W1964900034 @default.
- W3100457643 cites W1965954689 @default.
- W3100457643 cites W1968281448 @default.
- W3100457643 cites W1986843276 @default.
- W3100457643 cites W1989941861 @default.
- W3100457643 cites W1994815733 @default.
- W3100457643 cites W1998708693 @default.
- W3100457643 cites W2004245166 @default.
- W3100457643 cites W2005835462 @default.
- W3100457643 cites W2005972082 @default.
- W3100457643 cites W2011099425 @default.
- W3100457643 cites W2017825526 @default.
- W3100457643 cites W2029403139 @default.
- W3100457643 cites W2030549562 @default.
- W3100457643 cites W2035054911 @default.
- W3100457643 cites W2035115401 @default.
- W3100457643 cites W2035743407 @default.
- W3100457643 cites W2046031415 @default.
- W3100457643 cites W2052772489 @default.
- W3100457643 cites W2053036573 @default.
- W3100457643 cites W2058382538 @default.
- W3100457643 cites W2065530163 @default.
- W3100457643 cites W2068100635 @default.
- W3100457643 cites W2076056418 @default.
- W3100457643 cites W2077673765 @default.
- W3100457643 cites W2086280621 @default.
- W3100457643 cites W2091472088 @default.
- W3100457643 cites W2091855953 @default.
- W3100457643 cites W2093373780 @default.
- W3100457643 cites W2095274983 @default.
- W3100457643 cites W2103138450 @default.
- W3100457643 cites W2103565138 @default.
- W3100457643 cites W2126040123 @default.
- W3100457643 cites W2159531493 @default.
- W3100457643 cites W2323874343 @default.
- W3100457643 cites W2505405764 @default.
- W3100457643 cites W2897179403 @default.
- W3100457643 cites W2952855745 @default.
- W3100457643 cites W2962694222 @default.
- W3100457643 cites W3098257682 @default.
- W3100457643 cites W3099303096 @default.
- W3100457643 cites W3101448819 @default.
- W3100457643 cites W3102041565 @default.
- W3100457643 cites W3102744432 @default.
- W3100457643 cites W3102906171 @default.
- W3100457643 cites W3103449869 @default.
- W3100457643 cites W3104002446 @default.
- W3100457643 cites W3104788591 @default.
- W3100457643 cites W4300641598 @default.
- W3100457643 cites W589145504 @default.
- W3100457643 doi "https://doi.org/10.1007/978-3-642-41992-8_16" @default.
- W3100457643 hasPublicationYear "2014" @default.
- W3100457643 type Work @default.
- W3100457643 sameAs 3100457643 @default.
- W3100457643 citedByCount "9" @default.
- W3100457643 countsByYear W31004576432013 @default.
- W3100457643 countsByYear W31004576432017 @default.
- W3100457643 countsByYear W31004576432018 @default.
- W3100457643 countsByYear W31004576432020 @default.
- W3100457643 countsByYear W31004576432021 @default.
- W3100457643 crossrefType "book-chapter" @default.
- W3100457643 hasAuthorship W3100457643A5002819835 @default.
- W3100457643 hasBestOaLocation W31004576432 @default.
- W3100457643 hasConcept C108568745 @default.
- W3100457643 hasConcept C120484201 @default.
- W3100457643 hasConcept C121332964 @default.
- W3100457643 hasConcept C124017977 @default.
- W3100457643 hasConcept C130187892 @default.
- W3100457643 hasConcept C134328617 @default.
- W3100457643 hasConcept C14408790 @default.
- W3100457643 hasConcept C146846114 @default.
- W3100457643 hasConcept C147452769 @default.
- W3100457643 hasConcept C149324446 @default.
- W3100457643 hasConcept C165748483 @default.
- W3100457643 hasConcept C185277778 @default.
- W3100457643 hasConcept C2780791080 @default.
- W3100457643 hasConcept C33332235 @default.
- W3100457643 hasConcept C33923547 @default.
- W3100457643 hasConcept C37914503 @default.
- W3100457643 hasConcept C44715290 @default.
- W3100457643 hasConcept C62520636 @default.
- W3100457643 hasConcept C70669116 @default.
- W3100457643 hasConcept C74650414 @default.
- W3100457643 hasConcept C84114770 @default.
- W3100457643 hasConceptScore W3100457643C108568745 @default.
- W3100457643 hasConceptScore W3100457643C120484201 @default.
- W3100457643 hasConceptScore W3100457643C121332964 @default.
- W3100457643 hasConceptScore W3100457643C124017977 @default.