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New elliptic system and global solutions for the constraints equations in General relativity

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Abstract

By a new choice of the arbitrarily given quantities on an initial 3-manifold we reduce the system of constraints, in General Relativity, to an elliptic system of four equations, the coefficients of which have a simple geometric interpretation on the 3-manifold. The system seems well suited for a global study and some results are given in this direction.

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Authors and Affiliations

  1. Département de Mécanique, Université de Paris, Paris, France

    Yvonne Choquet-Bruhat

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  1. Yvonne Choquet-Bruhat
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Choquet-Bruhat, Y. New elliptic system and global solutions for the constraints equations in General relativity. Commun.Math. Phys. 21, 211–218 (1971). https://doi.org/10.1007/BF01647119

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  • DOI: https://doi.org/10.1007/BF01647119

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