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The suboptimal Penrose inequality for charged initial data sets
Abstract
Given a complete, 3-dimensional, asymptotically flat initial data set for the Einstein-Maxwell equations with vanishing magnetic field, we show that there exists a small universal constant π such that mβ₯π(β(π/(16Ο))+π¬2β(Ο/π) ). An analogous statement holds for asymptotically hyperboloidal initial data sets with the ADM mass replaced by hyperbolic energy. Under the additional assumption of axisymmetry, the inequality may be further strengthened to include angular momentum. These results extend the Penrose-type inequalities recently obtained by Allen-Bryden-Kazaras-Khuri to the charged setting.
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BibTeX
@misc{ng2026suboptimal,
title = {{The suboptimal Penrose inequality for charged initial data sets}},
author = {Eunice Ng},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.22418},
eprint = {2609.22418},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.22418},
}
RIS
TY - UNPB
TI - The suboptimal Penrose inequality for charged initial data sets
AU - Eunice Ng
PY - 2026
DA - 2026/09/18
PB - arXiv
DO - 10.48550/arxiv.2609.22418
UR - https://arxiv.org/abs/2609.22418
AB - Given a complete, 3-dimensional, asymptotically flat initial data set for the Einstein-Maxwell equations with vanishing magnetic field, we show that there exists a small universal constant π such that mβ₯π(β(π/(16Ο))+π¬^2β(Ο/π) ). An analogous statement holds for asymptotically hyperboloidal initial data sets with the ADM mass replaced by hyperbolic energy. Under the additional assumption of axisymmetry, the inequality may be further strengthened to include angular momentum. These results extend the Penrose-type inequalities recently obtained by Allen-Bryden-Kazaras-Khuri to the charged setting.
ER -