{"paper":{"title":"Bounds on area and charge for marginally trapped surfaces with cosmological constant","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Walter Simon","submitted_at":"2011-09-28T09:26:23Z","abstract_excerpt":"We sharpen the known inequalities $A \\Lambda \\le 4\\pi (1-g)$ and $A\\ge 4\\pi Q^2$ between the area $A$ and the electric charge $Q$ of a stable marginally outer trapped surface (MOTS) of genus g in the presence of a cosmological constant $\\Lambda$. In particular, instead of requiring stability we include the principal eigenvalue $\\lambda$ of the stability operator. For $\\Lambda^{*} = \\Lambda + \\lambda > 0$ we obtain a lower and an upper bound for $ \\Lambda^{*} A$ in terms of $ \\Lambda^{*} Q^2$ as well as the upper bound $ Q \\le 1/(2\\sqrt{\\Lambda^{*}})$ for the charge, which reduces to $ Q \\le 1/"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6140","kind":"arxiv","version":5},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}