{"paper":{"title":"An example of an asymptotically $AdS_2\\times S^2$ metric satisfying NEC but which is not exactly $AdS_2\\times S^2$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Paul Tod","submitted_at":"2018-08-01T13:47:29Z","abstract_excerpt":"We give an example of an asymptotically $AdS_2\\times S^2$ metric, in the sense of \\cite{GG}, which satisfies the Null Energy Condition but is not exactly $AdS_2\\times S^2$. It is therefore a counterexample to a conjecture of Maldacena mentioned in \\cite{GG}, but it does not satisfy field equations. In an appendix we give an example admitting supercovariantly constant spinors as in \\cite{t1}, which is asymptotically $AdS_2\\times S^2$ on one side only."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.00317","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"}