{"paper":{"title":"The gravitational energy-momentum pseudotensor: the cases of $f(R)$ and $f(T)$ gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Maria Transirico, Maurizio Capriolo, Salvatore Capozziello","submitted_at":"2018-04-23T16:08:20Z","abstract_excerpt":"We derive the gravitational energy-momentum pseudotensor $ \\tau^{\\sigma}_ {\\phantom {\\sigma} \\lambda} $ in metric $ f\\left (R \\right) $ gravity and in teleparallel $ f\\left (T\\right) $ gravity. In the first case, $R$ is the Ricci curvature scalar for a torsionless Levi-Civita connection; in the second case, $T$ is the curvature-free torsion scalar derived by tetrads and Weitzenb\\\"ock connection. For both classes of theories the continuity equations are obtained in presence of matter. $ f \\left (R \\right) $ and $ f \\left (T \\right) $ are non-equivalent but differ for a quantity $ \\omega \\left ("},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.08530","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"}