{"paper":{"title":"On Singularities and Instability for Different Couplings between Scalar Field and Multidimensional Geometry","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"M. Rainer, U. Bleyer","submitted_at":"1995-03-10T20:43:50Z","abstract_excerpt":"We consider a multidimensional model of the universe given as a $D$-dimensional geometry, represented by a Riemannian manifold $(M,g)$ with arbitrary signature of $g$, $M= \\R\\times M_1\\times \\cdots \\times M_n$, where the $M_i$ of dimension $d_i$ are Einstein spaces, compact for $i>1$. For Lagrangian models $L(R,\\phi)$ on $M$ which depend only on the Ricci curvature $R$ and a scalar field $\\phi$, there exists a conformal equivalence with minimal coupling models. For certain nonminimal models we study classical solutions and their relation to solutions in the equivalent minimal coupling model. T"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9503019","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"}