The Cauchy problem for Lorentz metrics with prescribed Ricci curvature
Dennis M. DeTurck (1983)
Compositio Mathematica
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Displaying similar documents to “Cauchy data on a manifold”
The Cauchy problem for Lorentz metrics with prescribed Ricci curvature
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Yvonne Choquet-Bruhat (1991)
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Well posed reduced systems for the Einstein equations
Yvonne Choquet-Bruhat, James York (1997)
Banach Center Publications
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We review some well posed formulations of the evolution part of the Cauchy problem of General Relativity that we have recently obtained. We include also a new first order symmetric hyperbolic system based directly on the Riemann tensor and the full Bianchi identities. It has only physical characteristics and matter sources can be included. It is completely equivalent to our other system with these properties.