The "neighborhood theorem" for the general relativistic characteristic Cauchy problem in higher dimension

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.

The same result has already been established in [13]. arXiv admin note: text overlap with arXiv:1406.3009