{"paper":{"title":"Relativistic conservation laws and integral constraints for large cosmological perturbations","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Donald Lynden-Bell, Jiri Bicak, Joseph Katz","submitted_at":"2005-04-09T15:32:36Z","abstract_excerpt":"For every mapping of a perturbed spacetime onto a background and with any vector field $\\xi$ we construct a conserved covariant vector density $I(\\xi)$, which is the divergence of a covariant antisymmetric tensor density, a \"superpotential\". $ I(\\xi)$ is linear in the energy-momentum tensor perturbations of matter, which may be large; $I(\\xi)$ does not contain the second order derivatives of the perturbed metric. The superpotential is identically zero when perturbations are absent.\n  By integrating conserved vectors over a part $\\Si$ of a hypersurface $S$ of the background, which spans a two-s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0504041","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/gr-qc/0504041/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"}