The Einstein-scalar field constraint system in the positive case

Abstract

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

14 pages

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Cited by in corpus (3)

• The Constraint Equations in the Presence of a Scalar Field - the Case of the Conformal Method with Volumetric Drift
• Lichnerowicz-type equations with sign-changing nonlinearities on complete manifolds with boundary
• Einstein-type elliptic systems