{"paper":{"title":"Aspects of three-dimensional higher-curvature gravities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Guido van der Velde, Javier Moreno, Pablo A. Cano, Pablo Bueno, Quim Llorens","submitted_at":"2022-01-18T19:12:52Z","abstract_excerpt":"We present new results involving general higher-curvature gravities in three dimensions. The most general Lagrangian can be written as a function of the Ricci scalar $R$, $\\mathcal{S}_2\\equiv \\tilde R_{a}^b \\tilde R_b^a$ and $\\mathcal{S}_3\\equiv \\tilde R_a^b \\tilde R_b^c \\tilde R_c^a$ where $\\tilde R_{ab}$ is the traceless part of the Ricci tensor. First, we provide a formula for the exact number of independent order-$n$ densities, $\\#(n)$. This satisfies the identity $\\#(n-6)=\\#(n)-n$. Then, we show that, linearized around a general Einstein solution, a generic order-$n\\geq 2$ density can be "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.07266","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/2201.07266/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"}