Asymptotically flat extensions with charge

29 Mar 2019  ·  Alaee Aghil, Pacheco Armando J. Cabrera, Cederbaum Carla ·

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. read more

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Differential Geometry General Relativity and Quantum Cosmology