{"paper":{"title":"Massive scalar field in multiply connected flat spacetimes","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Tsunefumi Tanaka, William A. Hiscock (Montana State University)","submitted_at":"1995-04-14T17:17:49Z","abstract_excerpt":"The vacuum expectation value of the stress-energy tensor $\\left\\langle 0\\left| T_{\\mu\\nu} \\right|0\\right\\rangle$ is calculated in several multiply connected flat spacetimes for a massive scalar field with arbitrary curvature coupling. We find that a nonzero field mass always decreases the magnitude of the energy density in chronology-respecting manifolds such as $R^3 \\times S^1$, $R^2 \\times T^2$, $R^1 \\times T^3$, the M\\\"{o}bius strip, and the Klein bottle. In Grant space, which contains nonchronal regions, whether $\\left\\langle 0\\left| T_{\\mu\\nu} \\right|0\\right\\rangle$ diverges on a chronolo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9504021","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"}