Description
I will present recent results on positive energy theorems for the Einstein–Maxwell equations in the setting of asymptotically flat spin initial data. A spinorial approach leads to positivity results for the total energy–momentum.
We then focus on questions in the Riemannian setting. This naturally leads to the notion of charged parallel spinors, whose existence is closely tied to the equality case and model geometries such as the Reissner–Nordström and Majumdar Papapetrou solutions.