3 papers
math.DG2026
Charged parallel spinors and applications to mass--charge inequalities
Simon Raulot
We investigate the equality case of the spin positive mass theorem with charge in the Riemannian setting. This leads naturally to the notion of charged parallel spinor, which plays…
math.DG2026
Positive energy-momentum theorems for asymptotically AdS spin initial data sets with charge
Simon Raulot
For complete spin initial data sets with an asymptotically anti--de Sitter end, we introduce a charged energy--momentum defined as a linear functional arising from the Einstein--Ma…
math.DG2025
Positive Energy Theorems for Spin Initial Data with Charge
Simon Raulot
We establish positive energy theorems for complete spin initial data sets with charge in dimensions , under a dominant energy condition and assuming the existence of at l…