Geometric uniqueness for non-vacuum Einstein equations and applications

Details Geometric uniqueness for non-vacuum Einstein equations and applications Geometric uniqueness for non-vacuum Einstein equations and applications

2011-09-03

arxiv.org/abs/1109.0644v1

Physics

Mathematical Physics

submitted version

Scientific paper

We prove in this note that local geometric uniqueness holds true without loss
of regularity for Einstein equations coupled with a large class of matter
models. We thus extend the Planchon-Rodnianski uniqueness theorem for vacuum
spacetimes. In a second part of this note, we investigate the question of local
regularity of spacetimes under geometric bounds.

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