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Construction of vacuum initial data of the Einstein field equations - an introduction to conformal methods

编辑:wfy 时间:2019年03月27日 访问次数:531

报告题目:Construction of vacuum initial data of the Einstein field equations - an introduction to conformal methods

报告人:谢纳庆(复旦大学)

时间:2019年4月4日 (星期四)下午15:30-16:30

地点:工商楼105教室

摘要:The geometric (physical) initial data is referred to as a triple (M,g,K) where (M,g) is a Riemannian 3-fold and K is a symmetric 2-tensor. They cannot be chosen freely; they must satisfy the constraints. Finding and studying solutions of the constraints are notoriously difficult. In this talk, we give a brief introduction to the standard conformal method, initiated by Lichnerowicz, and extended by Choquet-Bruhat and York. There is another way to construct vacuum initial data, referred to as 'the conformally covariant split' or, historically, 'Method B.' Amazingly, much less is mathematically known for this method. Joint with P.Mach and Y.Wang, we prove existence of solutions of the conformally covariant split system giving rise to non-constant mean curvature vacuum initial data for the Einstein field equations.

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联系人:王成波老师wangcbo@zju.edu.cn)