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Formation of trapped surfaces in the Einstein-Yang-Mills system
February 23, 2023 @ 9:30 am - 10:30 am
![CMSA GR Seminar 02.23.23](https://cmsa.fas.harvard.edu/media/CMSA-GR-Seminar-02.23.23.png)
General Relativity Seminar
Speaker: Nikolaos Athanasiou (University of Crete, Greece)
Title: Formation of trapped surfaces in the Einstein-Yang-Mills system
Abstract: 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 An, we develop a novel 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.