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Quantum Grav."],"published-print":{"date-parts":[[2025,11,7]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>\n                    We construct\n                    <jats:italic>gravitational atoms<\/jats:italic>\n                    including self-gravity, obtaining solutions of the Einstein\u2013Klein\u2013Gordon equations for a scalar field (SF) surrounding a non-rotating black hole (BH) in a quasi-stationary approximation. We resolve the region near the horizon as well as the far field one. Our results are relevant in a wide range of masses, from ultralight to MeV SFs and for BHs ranging from primordial to supermassive. For instance, the core of a galactic halo consistent with ultralight dark matter and a BH with a mass comparable to that of Sagittarius A* can be modeled. A density\n                    <jats:italic>spike<\/jats:italic>\n                    near the event horizon, although present, is negligible, contrasting with the prediction in Gondolo and Silk (1999\n                    <jats:italic>Phys. Rev. Lett.<\/jats:italic>\n                    <jats:bold>83<\/jats:bold>\n                    1719\u201322) for cold dark matter.\n                  <\/jats:p>","DOI":"10.1088\/1361-6382\/ae110a","type":"journal-article","created":{"date-parts":[[2025,10,8]],"date-time":"2025-10-08T22:52:35Z","timestamp":1759963955000},"page":"21LT01","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":6,"title":["Gravitational atoms beyond the test field limit: the case of Sgr A* and ultralight dark matter"],"prefix":"10.1088","volume":"42","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3367-9868","authenticated-orcid":true,"given":"Miguel","family":"Alcubierre","sequence":"first","affiliation":[]},{"given":"Juan","family":"Barranco","sequence":"additional","affiliation":[]},{"given":"Argelia","family":"Bernal","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8603-5209","authenticated-orcid":true,"given":"Juan","family":"Carlos Degollado","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9322-3083","authenticated-orcid":true,"given":"Alberto","family":"Diez-Tejedor","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0224-9611","authenticated-orcid":true,"given":"Miguel","family":"Megevand","sequence":"additional","affiliation":[]},{"given":"Dar\u00edo","family":"N\u00fa\u00f1ez","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0753-4449","authenticated-orcid":true,"given":"Olivier","family":"Sarbach","sequence":"additional","affiliation":[]}],"member":"266","published-online":{"date-parts":[[2025,10,22]]},"reference":[{"key":"cqgae110abib1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.127.261802","type":"journal-article","article-title":"Dark matter search results from the PandaX-4T commissioning run","volume":"127","author":"Meng","year":"2021","journal-title":"Phys. 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