Anke Pietsch

Simon Guisset (Queen Mary University, London): About (non-)uniqueness in asymptotically Anti-de Sitter spacetimes / Oberseminar Topics in General Relativit

Tuesday, 11.06.2024 12:00 im Raum 503

Mathematik und Informatik

In this talk, we will discuss the problem of uniquely continuing solutions to the Einstein and Klein-Gordon equations on asymptotically Anti-de Sitter spacetimes, from the conformal boundary. In particular, we will see how one can extend the result of Holzegel-Shao (arXiv:2207.14217), proving the unique continuation property for the Einstein vacuum equations, to the AdS-Einstein-Maxwell system. Such a result requires one to impose a geometric condition on the domain on which one imposes the boundary data, known as the Generalised Null Convexity Criterion. We will see how the failure of this condition implies non-uniqueness results for the Klein-Gordon equation. As illustrative examples, we will illustrate this phenomenon with the so-called planar AdS and pure AdS solutions.

Angelegt am 09.04.2024 von Anke Pietsch
Geändert am 13.05.2024 von Anke Pietsch
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