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Title (deu)
Optimal shielding for Einstein gravity
Speaker / Lecturer
Philippe G. LeFloch
Sorbonne U, Paris
Description (deu)

I will present recent advances on the analysis of asymptotically Euclidean, initial data sets for Einstein’s field equations. In collaboration with Bruno Le Floch (Sorbonne University) I proved that solutions to the Einstein constraints can be glued together along possibly nested conical domains. The constructed solutions may have arbitrarily low decay at infinity, while enjoying (super-)harmonic estimates within possibly narrow cones at infinity. Importantly, our localized seed-to-solution method, as we call it, leads to a proof of a conjecture by Alessandro Carlotto and Rick Schoen on the localization problem at infinity, and generalize P. LeFloch and Nguyen’s theorem on the asymptotic localization problem. This lecture will be based on https://arxiv.org/abs/2312.17706 and https://arxiv.org/abs/2402.17598 Blog: philippelefloch.org

Keywords (deu)
Nonlinear WavesRelativity
Subject (eng)
ÖFOS 2012 -- 103 -- Physics, Astronomy
Type (eng)
Language
[eng]
Persistent identifier
https://phaidra.univie.ac.at/o:2068104
Date created
2024-05-17
Place of creation (eng)
ESI
Duration
58 minutes 14 seconds
Content
Details
Object type
Video
Format
video/mp4
Created
27.05.2024 01:55:43
Metadata