{"paper":{"title":"Conservation Laws and Formation of Singularities in Relativistic Theories of Extended Objects","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Jens Hoppe","submitted_at":"1995-03-10T17:57:31Z","abstract_excerpt":"The dynamics of an M-dimensional extended object whose M+1 dimensional world volume in M+2 dimensional space-time has vanishing mean curvature is formulated in term of geometrical variables (the first and second fundamental form of the time-dependent surface $\\sum_M$), and simple relations involving the rate of change of the total area of $\\sum_M$, the enclosed volume as well as the spatial mean -- and intrinsic scalar curvature, integrated over $\\sum_M$, are derived. It is shown that the non-linear equations of motion for $\\sum_M(t)$ can be viewed as consistency conditions of an associated li"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9503069","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"}