Geometric uniqueness for non-vacuum Einstein equations and applications

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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Cited by in corpus (3)

• On the initial boundary value problem for the vacuum Einstein equations and geometric uniqueness
• On maximal globally hyperbolic vacuum space-times
• Thermodynamic instability of splitting thin shell solutions in braneworld Einstein-Gauss-Bonnet gravity