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arXiv · 2601.11728

Positive energy-momentum theorems for asymptotically AdS spin initial data sets with charge

Simon Raulot
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Abstract

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--Maxwell constraints. Under a dominant energy condition adapted to the presence of a negative cosmological constant, we establish positive energy--momentum theorems, showing in particular that this functional is non--negative on a natural real cone. We place particular emphasis on the case where the manifold carries a compact inner boundary. In the time--symmetric setting, this yields a mass--charge inequality for asymptotically hyperbolic manifolds with charge.

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Simon Raulot. 2026-01-16. Positive energy-momentum theorems for asymptotically AdS spin initial data sets with charge. https://arxiv.org/abs/2601.11728

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