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<p>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.</p>

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

  • 期刊论文

  • 发表日期：

    2025年12月16日

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  • Xiaohui Tian,
  • Naqing Xie

摘要

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.