{"paper":{"title":"Local energy-momentum conservation in scalar-tensor-like gravity with generic curvature invariants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"David Wenjie Tian","submitted_at":"2015-07-27T15:25:46Z","abstract_excerpt":"For a large class of scalar-tensor-like modified gravity whose action contains nonminimal couplings between a scalar field $\\phi(x^\\alpha)$ and generic curvature invariants $\\mathcal{R}$ beyond the Ricci scalar $R=R^\\alpha_{\\;\\;\\alpha}$, we prove the covariant invariance of its field equation and confirm/prove the local energy-momentum conservation. These $\\phi(x^\\alpha)-\\mathcal{R}$ coupling terms break the symmetry of diffeomorphism invariance under a particle transformation, which implies that the solutions of the field equation should satisfy the consistency condition $\\mathcal{R}\\equiv 0$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.07448","kind":"arxiv","version":2},"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"}