{"paper":{"title":"Time-Machines Construct in $f(\\mathcal{R},\\mathcal{A},A^{\\mu\\nu}\\,A_{\\mu\\nu})$ and $f(\\mathcal{R})$ Modified Gravity Theories","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"A. F. Santos, F. Ahmed, J. C. R. de Souza","submitted_at":"2024-07-16T08:49:54Z","abstract_excerpt":"In this paper, our objective is to explore a time-machine space-time formulated in general relativity, as introduced by Li (Phys. Rev. D {\\bf 59}, 084016 (1999)), within the context of modified gravity theories. We consider Ricci-inverse gravity of all Classes of models, {\\it i.e.}, (i) Class-{\\bf I}: $f(\\mathcal{R}, \\mathcal{A})=(\\mathcal{R}+{\\kappa\\,\\mathcal{R}^2}+\\beta\\,\\mathcal{A})$, (ii) Class-{\\bf II}: $f(\\mathcal{R}, A^{\\mu\\nu}\\,A_{\\mu\\nu})=(\\mathcal{R}+{\\kappa\\,\\mathcal{R}^2}+\\gamma\\,A^{\\mu\\nu}\\,A_{\\mu\\nu})$ model, and (iii) Class-{\\bf III}: $f(\\mathcal{R}, \\mathcal{A}, A^{\\mu\\nu}\\,A_{"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.11513","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/2407.11513/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"}