Mixed Elliptic and Hyperbolic Systems for the Einstein Equations

Details Mixed Elliptic and Hyperbolic Systems for the Einstein Equations Mixed Elliptic and Hyperbolic Systems for the Einstein Equations

1996-01-20

arxiv.org/abs/gr-qc/9601030v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

tex, 14 pages, no figures

Scientific paper

We analyse the mathematical underpinnings of a mixed hyperbolic-elliptic form of the Einstein equations of motion in which the lapse function is determined by specified mean curvature and the shift is arbitrary. We also examine a new recently-published first order symmetric hyperbolic form of the equations of motion. This paper is dedicated to Andre Lichnerowicz on the occasion of his 80th birthday and will appear in a volume edited by G. Ferrarese.

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