On emerging scarred surfaces for the Einstein vacuum equations

S. Klainerman; I. Rodnianski

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arXiv · 1002.2656

On emerging scarred surfaces for the Einstein vacuum equations

S. Klainerman·I. Rodnianski

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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.

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S. Klainerman, I. Rodnianski. 2010-02-12. On emerging scarred surfaces for the Einstein vacuum equations. https://arxiv.org/abs/1002.2656

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