{"paper":{"title":"Detecting Event Horizons and Stationary Surfaces","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"F. Paul Esposito, L.C.R. Wijewardhana, Louis Witten, Richard G. Gass","submitted_at":"1998-08-20T13:07:26Z","abstract_excerpt":"We have investigated the behavior of three curvature invariants for Schwarzschild, Reissner-Nordstr{\\o}m, Kerr, and Kerr-Newman black holes. We have also studied these invariants for a Schwarzschild-de Sitter space-time, the $\\gamma$ metric, and for a 2+1 charged dimensional black hole. The invariants are $I_{1}=R_{\\alpha\\beta\\mu\\nu;\\lambda}R^{\\alpha\\beta\\mu\\nu;\\lambda}$, $I_{2}=R_{\\mu\\nu;\\lambda} R^{\\mu\\nu;\\lambda}$, and $I_{3}=C_{\\alpha\\beta\\mu\\nu;\\lambda}C^{\\alpha\\beta\\mu\\nu;\\lambda}$. For all but the Kerr-Newman case these invariants serve as either horizon or stationary surface detectors."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9808055","kind":"arxiv","version":1},"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"}