{ "id": "2106.12564", "version": "v1", "published": "2021-06-23T17:45:16.000Z", "updated": "2021-06-23T17:45:16.000Z", "title": "Epicyclic frequencies in static and spherically symmetric wormhole geometries", "authors": [ "Vittorio De Falco", "Mariafelicia De Laurentis", "Salvatore Capozziello" ], "comment": "11 pages, 6 figures, 2 tables; accepted for publication on Phys. Rev. D on 23/06/2021", "categories": [ "gr-qc", "astro-ph.HE", "hep-th" ], "abstract": "The measurement of the epicyclic frequencies is a widely used astrophysical technique to infer information on a given self-gravitating system and on the related gravity background. We derive their explicit expressions in static and spherically symmetric wormhole spacetimes. We discuss how these theoretical results can be applied to: (1) detect the presence of a wormhole, distinguishing it by a black hole; (2) reconstruct wormhole solutions through the fit of the observational data, once we have them. Finally, we discuss the physical implications of our proposed epicyclic method.", "revisions": [ { "version": "v1", "updated": "2021-06-23T17:45:16.000Z" } ], "analyses": { "keywords": [ "spherically symmetric wormhole geometries", "epicyclic frequencies", "spherically symmetric wormhole spacetimes", "reconstruct wormhole solutions", "explicit expressions" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable" } } }