On the radius of injectivity of null hypersurfaces
Differential Geometry
2007-05-23 v1 Analysis of PDEs
Abstract
The paper is concerned with regularity properties of boundaries of causal pasts of points in a 3+1-dimensional Einstein-vacuum spacetime. In a Lorentzian manifold such boundaries play crucial role in propagation of linear and nonlinear waves. We prove a uniform lower bound on the radius of injectivity of these null boundaries in terms of the Riemann curvature flux along them and some additional quantities arising specifically in a problem of a large data breakdown criterion in General Relativity
Keywords
Cite
@article{arxiv.math/0603010,
title = {On the radius of injectivity of null hypersurfaces},
author = {S. Klainerman and I. Rodnianski},
journal= {arXiv preprint arXiv:math/0603010},
year = {2007}
}