A first-order symmetric hyperbolic system of equations for general relativity is presented, for which the constraint submanifold is expected to be an attractor along evolution. The expectation is supported by a rigorous proof valid in the linearized regime around flat space. Details of the proof are illustrated by considering the much simpler but otherwise analogous case of the Maxwell equations. The relevance to unconstrained numerical evolution is discussed and available examples from numerical integration in the Maxwell case are displayed. Audio Click here for full streaming audio of the talk.
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