Double null data and the characteristic problem in general relativity

doi:10.1088/1751-8121/acb098

Double null data and the characteristic problem in general relativity

2023-02-02

0

OA

AI

DOI：10.1088/1751-8121/acb098

原文链接

原文求助

摘要

En 中文

Abstract 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.

Double null data and the characteristic problem in general relativity

摘要

期刊

机构

引用论文