English

Geometric uniqueness for non-vacuum Einstein equations and applications

Mathematical Physics 2011-09-06 v1 Analysis of PDEs math.MP

Abstract

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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Cite

@article{arxiv.1109.0644,
  title  = {Geometric uniqueness for non-vacuum Einstein equations and applications},
  author = {David Parlongue},
  journal= {arXiv preprint arXiv:1109.0644},
  year   = {2011}
}

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R2 v1 2026-06-21T18:59:19.835Z