{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:42:05Z","timestamp":1760240525479,"version":"build-2065373602"},"reference-count":10,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2019,7,1]],"date-time":"2019-07-01T00:00:00Z","timestamp":1561939200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The Weyl method for finding solutions in general relativity using symmetry by varying an action with respect to a reduced set of field variables is known to fail in some cases. We add to the list of failures by considering an application of the Weyl method to a magnetically charged spherically symmetric source, obtaining an incorrect geometry. This is surprising, because the same method, applied to electrically charged central bodies correctly produces the Reissner-Nordstr\u00f6m spacetime.<\/jats:p>","DOI":"10.3390\/sym11070845","type":"journal-article","created":{"date-parts":[[2019,7,1]],"date-time":"2019-07-01T03:59:46Z","timestamp":1561953586000},"page":"845","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Symmetric Criticality and Magnetic Monopoles in General Relativity"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9073-5507","authenticated-orcid":false,"given":"Joel","family":"Franklin","sequence":"first","affiliation":[{"name":"Physics Department, Reed College, Portland, OR 97202, USA"}]}],"member":"1968","published-online":{"date-parts":[[2019,7,1]]},"reference":[{"key":"ref_1","unstructured":"Weyl, H. (1951). Space-Time-Matter, Dover."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"2656","DOI":"10.1103\/PhysRevLett.55.2656","article-title":"String Generated Gravity Models","volume":"55","author":"Boulware","year":"1985","journal-title":"Phys. Rev. Lett."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"4877","DOI":"10.1088\/0264-9381\/20\/22\/011","article-title":"Shortcuts to high symmetry solutions in gravitational theories","volume":"20","author":"Deser","year":"2003","journal-title":"Class. Quant. Grav."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"2657","DOI":"10.1007\/s10714-010-1002-8","article-title":"De\/re-constructing the Kerr metric","volume":"42","author":"Deser","year":"2010","journal-title":"Gen. Rel. Grav."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1007\/BF01941322","article-title":"The Principle of Symmetric Criticality","volume":"69","author":"Palais","year":"1979","journal-title":"Commun. Math. Phys."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"5295","DOI":"10.1088\/0264-9381\/21\/22\/N01","article-title":"Shortcuts to spherically symmetric solutions: A cautionary note","volume":"21","author":"Deser","year":"2004","journal-title":"Class. Quant. Grav."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1119\/1.1830505","article-title":"Schwarzschild and Birkhoff a la Weyl","volume":"73","author":"Deser","year":"2005","journal-title":"Am. J. Phys."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"L103","DOI":"10.1088\/0264-9381\/22\/16\/L03","article-title":"Birkhoff for Lovelock Redux","volume":"22","author":"Deser","year":"2005","journal-title":"Class. Quant. Grav."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"2692","DOI":"10.1103\/PhysRevD.11.2692","article-title":"Magnetic-monopole solution of non-Abelian gauge theory in curved spacetime","volume":"11","author":"Bais","year":"1975","journal-title":"Phys. Rev. D"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"2751","DOI":"10.1103\/PhysRevD.45.2751","article-title":"Black holes in magnetic monopoles","volume":"45","author":"Lee","year":"1992","journal-title":"Phys. Rev. D"}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/11\/7\/845\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T13:02:50Z","timestamp":1760187770000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/11\/7\/845"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,7,1]]},"references-count":10,"journal-issue":{"issue":"7","published-online":{"date-parts":[[2019,7]]}},"alternative-id":["sym11070845"],"URL":"https:\/\/doi.org\/10.3390\/sym11070845","relation":{},"ISSN":["2073-8994"],"issn-type":[{"type":"electronic","value":"2073-8994"}],"subject":[],"published":{"date-parts":[[2019,7,1]]}}}