Positive Energy Theorems for Spin Initial Data with Charge
Abstract
We establish positive energy theorems for complete spin initial data sets with charge in dimensions n ≥ 4, under a dominant energy condition and assuming the existence of at least one asymptotically flat end. Our results, formulated in the purely electric case, extend the classical theorems of Gibbons--Hull~GibbonsHull, Gibbons--Hawking--Horowitz--Perry~GibbonsHawkingHorowitzPerry, and Bartnik--Chru\'sciel~BartnikChrusciel.
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