On emerging scarred surfaces for the Einstein vacuum equations
General Relativity and Quantum Cosmology
2010-02-16 v1 Analysis of PDEs
Abstract
This is a follow up on our previous work in which we have presented a modified, simpler version of the remarkable recent result of Christodoulou on the formation of trapped surfaces. In this paper we prove two related results. First we extend the semi-global existence result, which was at the heart of our previous work, to an optimal range. We then use it to establish the formation of surfaces with multiple pre-scarred angular components.
Cite
@article{arxiv.1002.2656,
title = {On emerging scarred surfaces for the Einstein vacuum equations},
author = {S. Klainerman and I. Rodnianski},
journal= {arXiv preprint arXiv:1002.2656},
year = {2010}
}