Mixed Elliptic and Hyperbolic Systems for the Einstein Equations

1996/01/20 by Yvonne Choquet–Bruhat, Choquet-Bruhat, Y., James W. York +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Algebraic and Geometric Analysis #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.gr-qc/9601030

openalex publication_date 1996/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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