On emerging scarred surfaces for the Einstein vacuum equations

Details On emerging scarred surfaces for the Einstein vacuum equations On emerging scarred surfaces for the Einstein vacuum equations

2010-02-12

arxiv.org/abs/1002.2656v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

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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