{"paper":{"title":"Future global stability of Maxwell-J\\\"uttner equilibria and vacuum for the massless Boltzmann equation on FLRW spacetimes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.AP","math.MP"],"primary_cat":"gr-qc","authors_text":"Martin Taylor, Renato Velozo Ruiz, Robert M. Strain","submitted_at":"2026-05-29T13:51:14Z","abstract_excerpt":"In this work we study the general relativistic massless Boltzmann equation on Friedmann-Lema\\^itre-Robertson-Walker spacetimes with spatial topology $\\mathbb{T}^3$ in the linear and decelerated expanding regimes, where the scale factor is $t^{\\mathfrak{q}}$ with $\\mathfrak{q}\\in [0,1]$. The massless Boltzmann equation on these backgrounds admits non-stationary Maxwell-J\\\"uttner equilibria of the form $\\exp(- |t^{2\\mathfrak{q}}p|)$. For $0 \\leq \\mathfrak{q} \\leq 1$, we prove future global-in-time existence and uniqueness of small perturbations of these equilibria in the case of hard ball intera"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.00175","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/2606.00175/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"}