{"paper":{"title":"Spacetime characterizations of $\\Lambda$-vacuum metrics with a null Killing 2-form","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Jos\\'e M.M. Senovilla, Marc Mars","submitted_at":"2016-04-25T14:23:08Z","abstract_excerpt":"An exhaustive list of four-dimensional $\\Lambda$-vacuum spacetimes admitting a Killing vector whose self-dual Killing two-form ${\\cal F}$ is null is obtained assuming that the self-dual Weyl tensor is proportional to the tensor product of ${\\cal F}$ by itself. Our analysis complements previous results concerning the case with non-null ${\\cal F}$. We analyze both cases with $\\Lambda$ vanishing or not. In the latter case we prove that $\\Lambda< 0$ must hold necessarily, and we find a characterization of the Einstein spacetimes conformal to pp-waves. In the former case we obtain spacetime charact"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.07274","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"}