• Corpus ID: 119640852

Geometric uniqueness for non-vacuum Einstein equations and applications

@article{Parlongue2011GeometricUF,
  title={Geometric uniqueness for non-vacuum Einstein equations and applications},
  author={David Parlongue},
  journal={arXiv: Mathematical Physics},
  year={2011}
}
  • David Parlongue
  • Published 3 September 2011
  • Mathematics
  • arXiv: Mathematical Physics
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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