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arXiv · 1903.09014

Asymptotically flat extensions with charge

Aghil Alaee·Armando J. Cabrera Pacheco·Carla Cederbaum
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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, \`a 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.

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Aghil Alaee, Armando J. Cabrera Pacheco, Carla Cederbaum. 2019-03-21. Asymptotically flat extensions with charge. https://arxiv.org/abs/1903.09014

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