{"paper":{"title":"Cylindrical black hole solutions in $f(\\mathcal{R})$ and $f(\\mathcal{R},\\mathcal{A},A^{\\mu\\nu}A_{\\mu\\nu})$ modified gravity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Abdelmalek Bouzenada, Faizuddin Ahmed","submitted_at":"2024-11-01T03:45:34Z","abstract_excerpt":"We explore a cylindrical black hole (BH) space-time introduced by Lemos, in the context of modified gravity theories. Specifically, we focus on $f(\\mathcal{R})$-gravity framework, where we choose two form functions, $f(\\mathcal{R})=(\\mathcal{R}+\\alpha_1\\,\\mathcal{R}^2+\\alpha_2\\,\\mathcal{R}^3+\\alpha_3\\,\\mathcal{R}^4+\\alpha_4\\,\\mathcal{R}^5)$ and $f(\\mathcal{R})=\\mathcal{R}+\\alpha_k\\,\\mathcal{R}^{k+1},\\quad (k=1,2,...n)$. We solve the modified field equations incorporating zero energy-momentum tensor, $\\mathcal{T}^{\\mu\\nu}=0$ and obtain the result. Moreover, we study another well-known modified "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.00896","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/2411.00896/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"}