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The Problem of Constraints in General Relativity: Solution of the Lichnerowicz Equation

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Differential Geometry and Relativity

Part of the book series: Mathematical Physics and Applied Mathematics ((MPAM,volume 3))

Abstract

This paper is dedicated to André Lichnerowicz. The splitting property through conformal methods has been discovered by him, as well as the master equation whose solutions on a manifold give admissible initial data sets for Einstein’s equations. In his fundamental paper of 1944 (‘Journal de Mathématiques pures et appliquées) he uses the master equation, which will now be called the Lichnerowicz equation, to construct the first rigorous general solutions of the n-body problem in general relativity.

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M. Cahen M. Flato

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© 1976 D. Reidel Publishing Company, Dordrecht, Holland

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Choquet-Bruhat, Y. (1976). The Problem of Constraints in General Relativity: Solution of the Lichnerowicz Equation. In: Cahen, M., Flato, M. (eds) Differential Geometry and Relativity. Mathematical Physics and Applied Mathematics, vol 3. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1508-0_20

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  • DOI: https://doi.org/10.1007/978-94-010-1508-0_20

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-1510-3

  • Online ISBN: 978-94-010-1508-0

  • eBook Packages: Springer Book Archive

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