Well Posed Reduced Systems for the Einstein Equations

1996/06/03 by Yvonne Choquet–Bruhat, Choquet-Bruhat, Y., James W. York +1 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.gr-qc/9606001

openalex publication_date 1996/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Mixed Elliptic and Hyperbolic Systems for the Einstein Equations

Cited by

• Local well-posedness of the initial value problem in Einstein-Cartan theory

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