Well posed reduced systems for the Einstein equations

Tom 41 / 1997

Yvonne Choquet-Bruhat, James York Banach Center Publications 41 (1997), 119-131 DOI: 10.4064/-41-1-119-131


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.


  • Yvonne Choquet-Bruhat
  • James York

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