• 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.