Einstein-Bianchi Hyperbolic System for General Relativity

Details Einstein-Bianchi Hyperbolic System for General Relativity Einstein-Bianchi Hyperbolic System for General Relativity

1997-10-07

arxiv.org/abs/gr-qc/9710041v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pp., Latex, to appear in Topol. Methods in Nonlinear Analysis, typos corrected and further citations added

Scientific paper

By employing the Bianchi identities for the Riemann tensor in conjunction with the Einstein equations, we construct a first order symmetric hyperbolic system for the evolution part of the Cauchy problem of general relativity. In this system, the metric evolves at zero speed with respect to observers at rest in a foliation of spacetime by spacelike hypersurfaces while the curvature and connection propagate at the speed of light. The system has no unphysical characteristics, and matter sources can be included.

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