Area-charge inequalities and local rigidity of free boundary MOTS in charged initial data sets

Edilson Ferreira; Ivaldo Nunes

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arXiv · 2606.22184

Area-charge inequalities and local rigidity of free boundary MOTS in charged initial data sets

Edilson Ferreira·Ivaldo Nunes

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Abstract

In this work, we prove area-charge inequalities for free boundary MOTS in initial data sets for the Einstein-Maxwell equations with vanishing magnetic fields. In addition, we prove a local rigidity result under the assumption that equality holds.

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BibTeX RIS

Edilson Ferreira, Ivaldo Nunes. 2026-06-20. Area-charge inequalities and local rigidity of free boundary MOTS in charged initial data sets. https://arxiv.org/abs/2606.22184

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