Energy Estimates and Gravitational Collapse

Details Energy Estimates and Gravitational Collapse Energy Estimates and Gravitational Collapse

2011-05-13

arxiv.org/abs/1105.2630v1

Mathematics

Analysis of PDEs

2 figures, 40 pages

Scientific paper

We study the cancelations in the energy estimates for Einstein vacuum equations in order to prove the formation of black holes along evolutions. The novelty of the paper is that, we completely avoid using rotation vector fields to establish the global existence theorem of the solution. More precisely, we use only canonical null directions as commutators to derive energy estimates at the level of one derivatives of null curvature components.

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