{"paper":{"title":"On the radial linear stability of nonrelativistic $\\ell$-boson stars","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.GA","astro-ph.SR","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Armando A. Roque, Emmanuel Ch\\'avez Nambo, Olivier Sarbach","submitted_at":"2023-02-01T19:18:36Z","abstract_excerpt":"We study the linear stability of nonrelativistic $\\ell$-boson stars, describing static, spherically symmetric configurations of the Schr\\\"odinger-Poisson system with multiple wave functions having the same value of the angular momentum $\\ell$. In this work we restrict our analysis to time-dependent perturbations of the radial profiles of the $2\\ell+1$ wave functions, keeping their angular dependency fixed. Based on a combination of analytic and numerical methods, we find that for each $\\ell$, the ground state is linearly stable, whereas the $n$'th excited states possess $2n$ unstable (exponent"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.00717","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/2302.00717/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"}