Construction of Initial Data Sets for Einstein-Scalar and Einstein-Maxwell Equations by Conformally Covariant Split System

Abstract

By using the implicit function, the authors prove the existence of solutions of the conformally covariant split system on compact three-dimensional Riemannian manifolds. They give rise to certain initial data for the Einstein-scalar system and the Einstein-Maxwell system.

Keywords

Constraint equations / Conformally covariant split / Initial data / Einstein-scalar / Einstein-Maxwell / 83C05

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