{"paper":{"title":"Non-triviality of asymptotically flat Buchdahl-inspired metrics in pure $R^2$ gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Hoang Ky Nguyen","submitted_at":"2023-05-19T23:36:37Z","abstract_excerpt":"In Phys. Rev. D $\\textbf{107}$, 104008 (2023) we reported a novel exact closed-form solution which describes asymptotically flat spacetimes in pure $R^2$ gravity. The solution is Ricci scalar flat, viz. $R\\equiv0$ everywhere. Whereas any metric with a null Ricci scalar would $\\textit{trivially}$ satisfy the $R^2$ vacuo field equation, $R\\left(R_{\\mu\\nu}-\\frac{1}{4}g_{\\mu\\nu}\\,R\\right)+g_{\\mu\\nu}\\,\\square\\,R-\\nabla_{\\mu}\\nabla_{\\nu}R=0$, in this article, we shall show that our solution satisfies a \"stronger\" version of the $R^2$ vacuo field equation, viz. $R_{\\mu\\nu}-\\frac{1}{4}g_{\\mu\\nu}\\,R+R^"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.12037","kind":"arxiv","version":3},"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/2305.12037/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"}