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arXiv · 2607.05980

Charged parallel spinors and applications to mass--charge inequalities

Simon Raulot
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Abstract

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 a central role in the analysis of extremal charged manifolds. As an application, we characterize the equality case of the mass--charge inequality in terms of the extremal Reissner--Nordstr\"om geometry for asymptotically flat manifolds with connected boundary and for manifolds with a single asymptotically cylindrical end.

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Simon Raulot. 2026-07-07. Charged parallel spinors and applications to mass--charge inequalities. https://arxiv.org/abs/2607.05980

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