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The Einstein-Scalar Field Constraint System in the Positive Case

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Abstract

We prove the existence of solutions to the conformal Einstein-scalar constraint system of equations for closed Riemannian manifolds in the positive case. Our results apply to the vacuum case with positive cosmological constant and to the massive Klein–Gordon setting.

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Authors and Affiliations

  1. Laboratoire de Mathématiques, AGM, Université de Cergy-Pontoise, 2 Avenue Adolphe Chauvin, 95302, Cergy-Pontoise Cedex, France

    Bruno Premoselli

  2. Laboratoire de Mathématiques, UMPA, Ecole Normale Supérieure de Lyon (Site Sciences), 46 allée d’Italie, 69364, Lyon Cedex 07, France

    Bruno Premoselli

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  1. Bruno Premoselli
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Correspondence to Bruno Premoselli.

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Communicated by P. T. Chruściel

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Premoselli, B. The Einstein-Scalar Field Constraint System in the Positive Case. Commun. Math. Phys. 326, 543–557 (2014). https://doi.org/10.1007/s00220-013-1852-5

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  • DOI: https://doi.org/10.1007/s00220-013-1852-5

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