{"paper":{"title":"Energy-Momentum Complex in Higher Order Curvature-Based Local Gravity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Gaetano Lambiase, Maurizio Capriolo, Salvatore Capozziello","submitted_at":"2022-08-04T16:17:51Z","abstract_excerpt":"In General Relativity, there have been many proposals for defining the gravitational energy density, notably those proposed by Einstein, Tolman, Landau and Lifshitz, Papapetrou, M{\\o}ller, and Weinberg. In this review, we firstly explored the energy--momentum complex in an $n^{th}$ order gravitational Lagrangian $L=L\\left(g_{\\mu\\nu}, g_{\\mu\\nu,i_{1}}, g_{\\mu\\nu,i_{1}i_{2}},g_{\\mu\\nu,i_{1}i_{2}i_{3}},\\cdots, g_{\\mu\\nu,i_{1}i_{2}i_{3}\\cdots i_{n}}\\right)$ and then in a gravitational Lagrangian as \\mbox{$L_{g}=(\\overline{R}+a_{0}R^{2}+\\sum_{k=1}^{p} a_{k}R\\Box^{k}R)\\sqrt{-g}$}. Its gravitational "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.02741","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2208.02741/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}