The spacetime positive energy theorem in dimensions n ≥ 4 is obtained by reducing it to the Riemannian positive mass theorem using the Jang equation with a capillary term.
Lohkamp,The higher dimensional positive mass theorem II
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On the spacetime positive energy theorem in arbitrary dimension
The spacetime positive energy theorem in dimensions n ≥ 4 is obtained by reducing it to the Riemannian positive mass theorem using the Jang equation with a capillary term.