{ "id": "1506.00942", "version": "v1", "published": "2015-06-02T16:19:57.000Z", "updated": "2015-06-02T16:19:57.000Z", "title": "Local stability of self-gravitating disks in $f(R)$ gravity", "authors": [ "Mahmood Roshan", "Shahram Abbassi" ], "comment": "To appear in Astrophysics and Space Science", "categories": [ "astro-ph.GA", "gr-qc" ], "abstract": "In the framework of metric $f(R)$ gravity, we find the dispersion relation for the propagation of tightly wound spiral density waves in the surface of rotating, self-gravitating disks. Also, new Toomre-like stability criteria for differentially rotating disks has been derived for both fluid and stellar disks.", "revisions": [ { "version": "v1", "updated": "2015-06-02T16:19:57.000Z" } ], "analyses": { "keywords": [ "self-gravitating disks", "local stability", "tightly wound spiral density waves", "stellar disks", "toomre-like stability criteria" ], "publication": { "doi": "10.1007/s10509-015-2410-8" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1374197 } } }