{"paper":{"title":"Einstein equations with cosmological constant in Super Space-Time","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"F. Darabi, F. Gholami, M. Mohammadi, M. Roshande, S. Varsaie","submitted_at":"2021-08-25T19:04:48Z","abstract_excerpt":"We introduce a new kind of super warped product spaces $\\bar{M}_{_{(I)}}=\\textbf{I}^{1|0}\\times_f M^{m|n}$, $\\bar{M}_{_{(II)}}=\\textbf{I}^{0|1}\\times_{f} M^{m|n}$, and $\\bar{M}_{_{(III)}}=\\textbf{I}^{1|1}\\times_{f} M^{m|n}$, where $M^{m|n}$ is a supermanifold of dimension $m|n$, $\\textbf{I}^{\\delta|\\delta'}$ is standard superdomain with $\\textbf{I}=(0,1)$ and $\\delta,\\delta' \\in \\{0,1\\}$, subject to the warp functions $f(t)$, $f(\\bar t)$, and $f(t, \\bar t)$, respectively. In each super warped product space, $\\bar{M}_{_{(I)}}$, $\\bar{M}_{_{(II)}}$, and $\\bar{M}_{_{(III)}}$, it is shown that Ein"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2108.11437","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2108.11437/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}