The Einstein-scalar field constraint system in the positive case
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🧮 math.AP
math-phmath.MP
keywords
casepositiveconstrainteinstein-scalarsystemapplyclosedcompact
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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.
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