{"paper":{"title":"On Modelling the Surfaces of Celestial Bodies in Quantum Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"A modified Tolman VII density profile with sufficient differentiability produces regular quantum corrections at the surface of stars.","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Marco Sebastianutti, Xavier Calmet","submitted_at":"2025-11-24T18:52:33Z","abstract_excerpt":"We discuss how to model the surface of celestial bodies (such as stars) in quantum gravity to ensure the regularity of quantum corrections to classical solutions of general relativity at the surface of such bodies. Specifically, we use the Vilkovisky--DeWitt unique effective action to calculate universal quantum corrections to the exterior metric for a class of stellar models. Previous descriptions, obtained via a Heaviside density profile, are ``pathological'' at the surface of the star due to the divergence of the metric functions and associated curvature invariants. Introducing a modified v"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Introducing a modified version of the Tolman VII density profile, we determine the minimal degree of differentiability required for this function to generate regular quantum corrections at the star's surface.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That the Vilkovisky-DeWitt unique effective action supplies the correct universal quantum corrections to the exterior metric for the chosen class of stellar models.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A modified Tolman VII density profile with sufficient differentiability produces regular quantum corrections to stellar exteriors when computed with the Vilkovisky-DeWitt effective action.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A modified Tolman VII density profile with sufficient differentiability produces regular quantum corrections at the surface of stars.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"a17f495a533732d6d2a49df8f2b3edbdaf9e96c836af49bc5ed3f08e26fbf5a4"},"source":{"id":"2511.19582","kind":"arxiv","version":2},"verdict":{"id":"2dea8ae8-88ac-4aae-bda9-fea90794d428","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-17T05:59:00.756396Z","strongest_claim":"Introducing a modified version of the Tolman VII density profile, we determine the minimal degree of differentiability required for this function to generate regular quantum corrections at the star's surface.","one_line_summary":"A modified Tolman VII density profile with sufficient differentiability produces regular quantum corrections to stellar exteriors when computed with the Vilkovisky-DeWitt effective action.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That the Vilkovisky-DeWitt unique effective action supplies the correct universal quantum corrections to the exterior metric for the chosen class of stellar models.","pith_extraction_headline":"A modified Tolman VII density profile with sufficient differentiability produces regular quantum corrections at the surface of stars."},"references":{"count":26,"sample":[{"doi":"10.1007/bf02710419","year":1966,"title":"Singular hypersurfaces and thin shells in general relativity","work_id":"10fc3a1c-b533-410e-a975-ff6b278d0ccc","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"10.1017/cbo9780511606601","year":2009,"title":"Poisson,A Relativist’s Toolkit: The Mathematics of Black-Hole Mechanics, Cambridge University Press (12, 2009), 10.1017/CBO9780511606601","work_id":"250609bf-1cf2-43ca-9d1a-ee73cb761267","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"10.1016/0370-2693(83)90506-3","year":1983,"title":"A. 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B234(1984) 125-137, doi:10.1016/0550-3213(84)90228-1","work_id":"d80698a9-39b4-4296-9777-78eccca496ed","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"10.1016/0370-","year":1985,"title":"The influence of the analytical continuation effects on the value of the QCD scale parameter Lambda extracted from the data on charmonium and Ipsilonium hadonic decays","work_id":"cc369e6a-407b-4744-9ca6-79549b2e5bf8","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":26,"snapshot_sha256":"98b4fc45ccb4736c8da7cfba9dde3c4dce02761b9fd06c662d5777b8439aa388","internal_anchors":5},"formal_canon":{"evidence_count":2,"snapshot_sha256":"a42a7e20566eb4e4c4244857b039bddf008775a8dae80f1246f4ab16a6d428b4"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}