Non strict and strict hyperbolic systems for the Einstein equations

Details Non strict and strict hyperbolic systems for the Einstein equations Non strict and strict hyperbolic systems for the Einstein equations

2001-11-06

arxiv.org/abs/gr-qc/0111017v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages

Scientific paper

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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