The Einstein-Scalar Field Constraint System in the Positive Case

被引:0
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作者
Bruno Premoselli
机构
[1] Université de Cergy-Pontoise,Laboratoire de Mathématiques, AGM
[2] Ecole Normale Supérieure de Lyon (Site Sciences),Laboratoire de Mathématiques, UMPA
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关键词
Constraint System; Conformal Killing; Vacuum Case; Smooth Positive Function; Closed Riemannian Manifold;
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摘要
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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页码:543 / 557
页数:14
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