{"paper":{"title":"Late time behavior in $f(R,\\mathcal{L}_{m})$ gravity through Gaussian reconstruction and dynamical stability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"B. Mishra, S.A. Narawade, Y. Kalpana Devi","submitted_at":"2025-06-11T10:04:56Z","abstract_excerpt":"In this paper, we explore modified gravity in the framework of $f(R, \\mathcal{L}_m)$ theories by reconstructing the function $f(\\mathcal{L}_m)$, where $\\mathcal{L}_m = \\rho$ is the matter Lagrangian, under the assumption of a pressureless, matter-dominated Universe. Using a non-parametric Gaussian process reconstruction technique applied to Hubble data, we obtain two viable models of $f(\\mathcal{L}_m)$ : (i) a power-law model $f_1(\\mathcal{L}_m) = \\alpha \\mathcal{L}_m^{b_1}$ with $b_1 \\in [0.018, 0.025]$ and (ii) an exponential model $f_2(\\mathcal{L}_m) = \\alpha \\mathcal{L}_{m0} \\left(1 - e^{-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.09568","kind":"arxiv","version":1},"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/2506.09568/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"}