{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,14]],"date-time":"2025-10-14T00:44:06Z","timestamp":1760402646561,"version":"build-2065373602"},"reference-count":58,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2021,4,2]],"date-time":"2021-04-02T00:00:00Z","timestamp":1617321600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["UIDB\/04106\/2020","UIDP\/04106\/2020,"],"award-info":[{"award-number":["UIDB\/04106\/2020","UIDP\/04106\/2020,"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In the presence of appropriate non-minimal couplings between a scalar field and the curvature squared Gauss\u2013Bonnet (GB) term, compact objects such as neutron stars and black holes (BHs) can spontaneously scalarize, becoming a preferred vacuum. Such strong gravity phase transitions have attracted considerable attention recently. The non-minimal coupling functions that allow this mechanism are, however, always postulated ad hoc. Here, we point out that families of such functions naturally emerge in the context of Higgs\u2013Chern\u2013Simons gravity models, which are found as dimensionally descents of higher dimensional, purely topological, Chern\u2013Pontryagin non-Abelian densities. As a proof of concept, we study spherically symmetric scalarized BH solutions in a particular Einstein-GB-scalar field model, whose coupling is obtained from this construction, pointing out novel features and caveats thereof. The possibility of vectorization is also discussed, since this construction also originates vector fields non-minimally coupled to the GB invariant.<\/jats:p>","DOI":"10.3390\/sym13040590","type":"journal-article","created":{"date-parts":[[2021,4,2]],"date-time":"2021-04-02T10:34:09Z","timestamp":1617359649000},"page":"590","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Embedding Gauss\u2013Bonnet Scalarization Models in Higher Dimensional Topological Theories"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9619-2013","authenticated-orcid":false,"given":"Carlos","family":"Herdeiro","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1tica da Universidade de Aveiro and Center for Research and Development in Mathematics and Applications (CIDMA), Campus de Santiago, 3810-183 Aveiro, Portugal"}]},{"given":"Eugen","family":"Radu","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica da Universidade de Aveiro and Center for Research and Development in Mathematics and Applications (CIDMA), Campus de Santiago, 3810-183 Aveiro, Portugal"}]},{"given":"D. H.","family":"Tchrakian","sequence":"additional","affiliation":[{"name":"School of Theoretical Physics, Dublin Institute for Advanced Studies, 10 Burlington Road, Dublin 4, Ireland"}]}],"member":"1968","published-online":{"date-parts":[[2021,4,2]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1542014","DOI":"10.1142\/S0218271815420146","article-title":"Asymptotically flat black holes with scalar hair: A review","volume":"24","author":"Herdeiro","year":"2015","journal-title":"Int. J. Mod. Phys. D"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"186","DOI":"10.1007\/JHEP09(2020)186","article-title":"Higher dimensional black hole scalarization","volume":"9","author":"Astefanesei","year":"2020","journal-title":"J. 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