1. Global aspects of the Cauchy problem in general relativity
- Author
-
Robert Geroch and Yvonne Choquet-Bruhat
- Subjects
Condensed Matter::Quantum Gases ,Cauchy problem ,Pure mathematics ,Einstein's constant ,Statistical and Nonlinear Physics ,Introduction to the mathematics of general relativity ,Mathematics of general relativity ,Einstein tensor ,symbols.namesake ,Cauchy surface ,83.53 ,Einstein field equations ,symbols ,Einstein ,Mathematical Physics ,Mathematics ,Mathematical physics - Abstract
It is shown that, given any set of initial data for Einstein's equations which satisfy the constraint conditions, there exists a development of that data which is maximal in the sense that it is an extension of every other development. These maximal developments form a well-defined class of solutions of Einstein's equations. Any solution of Einstein's equations which has a Cauchy surface may be embedded in exactly one such maximal development.
- Published
- 1969
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