{"paper":{"title":"Notes on Conservation Laws, Equations of Motion of Matter and Particle Fields in Lorentzian and Teleparallel de Sitter Spacetime Structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Samuel A. Wainer, Waldyr A. Rodrigues Jr.","submitted_at":"2015-05-12T09:47:43Z","abstract_excerpt":"We discuss the physics of interacting tensor fields and particles living in $M=\\mathrm{S0}(1,4)/\\mathrm{S0} (1,3)\\simeq\\mathbb{R}\\times S^{3}$ a submanifold of $\\mathring{M}=(\\mathbb{R}^{5},\\boldsymbol{\\mathring{g}})$, where $\\boldsymbol{\\mathring {g}}$ has signature $(1,4)$. Structure $(M,\\boldsymbol{g})$ where $(\\boldsymbol{g=i}^{\\ast}\\boldsymbol{\\mathring{g}})$ is a Lorentzian manifold. Structure $(M,\\boldsymbol{g,}\\tau_{\\boldsymbol{g}},\\uparrow)$ is primely used to study the energy-momentum conservation law (for a system of physical fields (and particles) living in $M$ and to get the respe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.02935","kind":"arxiv","version":5},"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"}