The "neighborhood theorem" for the general relativistic characteristic Cauchy problem in higher dimension
General Relativity and Quantum Cosmology
2023-05-15 v1 Differential Geometry
Abstract
We show that the maximal globally hyperbolic solution of the initial-value problem for the higher-dimensional vacuum Einstein equations on two transversally intersecting characteristic hypersurfaces contains a future neighborhood of the hypersurfaces.
Keywords
Cite
@article{arxiv.2305.07306,
title = {The "neighborhood theorem" for the general relativistic characteristic Cauchy problem in higher dimension},
author = {Piotr T. Chrusciel and Roger Tagne Wafo and Finnian Gray},
journal= {arXiv preprint arXiv:2305.07306},
year = {2023}
}
Comments
The same result has already been established in [13]. arXiv admin note: text overlap with arXiv:1406.3009