{"paper":{"title":"Variational techniques in general relativity: A metric-affine approach to Kaluza's theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math.MP"],"primary_cat":"math-ph","authors_text":"Enrico Massa, Stefano Vignolo","submitted_at":"2016-09-23T17:47:19Z","abstract_excerpt":"A new variational principle for General Relativity, based on an action functional $I\\/(\\Phi,\\nabla)\\/$ involving both the metric $\\Phi\\/$ and the connection $\\nabla\\/$ as independent, \\emph{unconstrained\\/} degrees of freedom is presented. The extremals of $I\\/$ are seen to be pairs $\\/(\\Phi,\\nabla)\\/$ in which $\\Phi\\/$ is a Ricci flat metric, and $\\nabla\\/$ is the associated Riemannian connection. An application to Kaluza's theory of interacting gravitational and electromagnetic fields is discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.07447","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"}