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Non strict and strict hyperbolic systems for the Einstein equations

Yvonne Choquet-Bruhat
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Abstract

The integration of the Einstein equations split into the solution of constraints on an initial space like 3 - manifold, an essentially elliptic system, and a system which will describe the dynamical evolution, modulo a choice of gauge. We prove in this paper that the simplest gauge choice leads to a system which is causal, but hyperbolic non strict in the sense of Leray - Ohya. We review some strictly hyperbolic systems obtained recently.

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Yvonne Choquet-Bruhat. 2001-11-06. Non strict and strict hyperbolic systems for the Einstein equations. https://arxiv.org/abs/gr-qc/0111017

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