Abstract
By a suitable choice of the lapse, which in a natural way is connected to the space metric, we obtain a hyperbolic system from the 3+1 system of Einstein equations with zero shift; this is accomplished by combining the evolution equations with the constraints.
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Communicated by S.-T. Yau
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Choquet-Bruhat, Y., Ruggeri, T. Hyperbolicity of the 3+1 system of Einstein equations. Commun.Math. Phys. 89, 269–275 (1983). https://doi.org/10.1007/BF01211832
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DOI: https://doi.org/10.1007/BF01211832