Formation of trapped surfaces for the Einstein-Yang-Mills system

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• Nikolaos Athanasiou (Crete)
• Monday 27 November 2023, 14:00-15:00
• MR13.

If you have a question about this talk, please contact Dr Greg Taujanskas.

The purpose of this talk is to give an overview of a semi-global existence result and a trapped surface formation results in the context of the Einstein-Yang-Mills system. Adopting a “signature for decay rates” approach first introduced by X. An, we develop a gauge (and scale) invariant hierarchy of non-linear estimates for the Yang-Mills curvature which, together with the estimates for the gravitational degrees of freedom, yield the desired semi-global existence result. Once semi-global existence has been established, we will explain how the formation of a trapped surface follows from a standard ODE argument. This is joint work with Puskar Mondal and Shing-Tung Yau.

This talk is part of the Partial Differential Equations seminar series.

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