The Einstein-scalar field constraint system in the positive case
Bruno Premoselli
TL;DR
This paper proves the existence of solutions to the Einstein-scalar constraint system on closed manifolds in the positive case, encompassing vacuum with positive cosmological constant and massive Klein-Gordon scenarios.
Contribution
It establishes the existence of solutions in the positive case for the Einstein-scalar constraint system on compact manifolds, extending previous results to new settings.
Findings
Existence of solutions in the positive case for the Einstein-scalar system.
Applicability to vacuum with positive cosmological constant.
Extension to massive Klein-Gordon field.
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.
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