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The suboptimal Penrose inequality for charged initial data sets — arXiv:2609.22418

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.22418
License (as archived): CC0-1.0
Archived: 2026-10-10T00:01:16.690Z
SHA-256 of the archived text: 0b0ebcade40b243ae015660cc0e6ff65acda82fd6616d803c0c86ddd82b7ef92
Stable URL of this page: https://metraipolis.com/documento/dc_2eb56fff79dd

How to cite

The suboptimal Penrose inequality for charged initial data sets — arXiv:2609.22418 — arXiv (en), https://arxiv.org/abs/2609.22418 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_2eb56fff79dd (Metraipolis archive dc_2eb56fff79dd, sha256 0b0ebcade40b243ae015660cc0e6ff65acda82fd6616d803c0c86ddd82b7ef92)

BibTeX

@misc{dc2eb56fff79dd,
  title = {The suboptimal Penrose inequality for charged initial data sets — arXiv:2609.22418},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.22418},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_2eb56fff79dd; sha256 0b0ebcade40b243ae015660cc0e6ff65acda82fd6616d803c0c86ddd82b7ef92},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.22418. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

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 $\mathcal{C}$ such that $m\geq\mathcal{C}(\sqrt{\mathcal{A}/(16\pi)}+\mathcal{Q}^2\sqrt{\pi/\mathcal{A}}\,)$. 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.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-22 in gr-qc).
Categorie arXiv: Differential Geometry (math.DG) ; General Relativity and Quantum Cosmology (gr-qc).
Pagina del lavoro: https://arxiv.org/abs/2609.22418 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-09T22:51:15.802Z dalla pagina https://arxiv.org/catchup/gr-qc/2026-09-22?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).