![Asymptotically flat extensions with charge](https://cmsa.fas.harvard.edu/media/Asymptotically-flat-extensions-with-charge.png)
New publication by Aghil Alaee et al.
![Asymptotically flat extensions with charge](/media/Screen-Shot-2019-03-25-at-11.37.50-AM-232x300-1.png)
Title: Asymptotically flat extensions with charge
Abstract: The Bartnik mass is a notion of quasi-local mass which is remarkably difficult to compute. Mantoulidis and Schoen [2016] developed a novel technique to construct asymptotically flat extensions of minimal Bartnik data in such a way that the ADM mass of these extensions is well-controlled, and thus, they were able to compute the Bartnik mass for minimal spheres satisfying a stability condition. In this work, we develop extensions and gluing tools, Ã la Mantoulidis and Schoen, for time-symmetric initial data sets for the Einstein-Maxwell equations that allow us to compute the value of an ad-hoc notion of charged Barnik mass for suitable charged minimal Bartnik data.