# 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} }

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.

## 5 Citations

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### On maximal globally hyperbolic vacuum space-times

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### On maximal globally hyperbolic vacuum space-times

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We prove existence and uniqueness of maximal global hyperbolic developments of vacuum general relativistic initial data sets with initial data (g, K) in Sobolev spaces $${H^{s} \bigoplus H^{s - 1},…

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