论文标题
双重零数据和一般相对论的特征问题
Double Null Data and the Characteristic Problem in General Relativity
论文作者
论文摘要
任何因果特征的一般性曲面可以使用Hyperface Data形式主义进行抽象研究。在无效的情况下，我们根据抽象数据写下环境RICCI张量的所有切向组件。使用这种形式主义，我们以完全抽象的方式制定和解决爱因斯坦真空场方程的特征性库奇问题。初始数据与任何时空概念都分离，并且是完全差异性和量规协变量的。本文的结果使特征问题与总体相对论中的标准库奇问题相似。
General hypersurfaces of any causal character can be studied abstractly using the hypersurface data formalism. In the null case, we write down all tangential components of the ambient Ricci tensor in terms of the abstract data. Using this formalism, we formulate and solve in a completely abstract way the characteristic Cauchy problem of the Einstein vacuum field equations. The initial data is detached from any spacetime notion, and it is fully diffeomorphism and gauge covariant. The results of this paper put the characteristic problem on a similar footing as the standard Cauchy problem in General Relativity.
