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{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,9,15]],"date-time":"2023-09-15T15:12:16Z","timestamp":1694790736377},"reference-count":51,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2023,4,6]],"date-time":"2023-04-06T00:00:00Z","timestamp":1680739200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2023,4,6]],"date-time":"2023-04-06T00:00:00Z","timestamp":1680739200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/501100004189","name":"Max-Planck-Gesellschaft","doi-asserted-by":"publisher","award":["Proj. Bez. M.FE.A.MATN0003."]},{"DOI":"10.13039\/501100001691","name":"Japan Society for the Promotion of Science","doi-asserted-by":"publisher","award":["21H05182","21H05186","20K03938","20K03975"]},{"DOI":"10.13039\/501100001691","name":"Japan Society for the Promotion of Science","doi-asserted-by":"publisher","award":["17K05451","15K05092"]},{"DOI":"10.13039\/501100000271","name":"Science and Technology Facilities Council","doi-asserted-by":"publisher","award":["ST\/T000694\/1"]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Commun. Math. Phys."],"published-print":{"date-parts":[[2023,8]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>The black hole rigidity theorem asserts that a rotating stationary black hole must be axisymmetric. This theorem holds for General Relativity with suitable matter fields, in four or more dimensions. We show that the theorem can be extended to any diffeomorphism invariant theory of vacuum gravity, assuming that this is interpreted in the sense of effective field theory, with coupling constants determined in terms of a \u201cUV scale\u201d, and that the black hole solution can locally be expanded as a power series in this scale.\n<\/jats:p>","DOI":"10.1007\/s00220-023-04700-1","type":"journal-article","created":{"date-parts":[[2023,4,6]],"date-time":"2023-04-06T17:02:42Z","timestamp":1680800562000},"page":"2757-2791","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["A Stationary Black Hole Must be Axisymmetric in Effective Field Theory"],"prefix":"10.1007","volume":"401","author":[{"ORCID":"http:\/\/orcid.org\/0000-0001-6627-2808","authenticated-orcid":false,"given":"Stefan","family":"Hollands","sequence":"first","affiliation":[]},{"given":"Akihiro","family":"Ishibashi","sequence":"additional","affiliation":[]},{"given":"Harvey S.","family":"Reall","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,4,6]]},"reference":[{"issue":"4","key":"4700_CR1","doi-asserted-by":"crossref","first-page":"845","DOI":"10.1007\/s00039-010-0082-7","volume":"20","author":"S Alexakis","year":"2010","unstructured":"Alexakis, S., Ionescu, A.D., Klainerman, S.: Hawking\u2019s local rigidity theorem without analyticity. Geom. Funct. Anal. 20(4), 845\u2013869 (2010)","journal-title":"Geom. Funct. Anal."},{"key":"4700_CR2","doi-asserted-by":"crossref","unstructured":"Bhattacharyya, S., et al.: The zeroth law of black hole thermodynamics in arbitrary higher derivative theories of gravity. arXiv preprint arXiv:2205.01648 (2022)","DOI":"10.1007\/JHEP10(2022)013"},{"key":"4700_CR3","doi-asserted-by":"crossref","first-page":"017","DOI":"10.1007\/JHEP06(2020)017","volume":"06","author":"J Bhattacharya","year":"2020","unstructured":"Bhattacharya, J., Bhattacharyya, S., Dinda, A., Kundu, N.: An entropy current for dynamical black holes in four-derivative theories of gravity. JHEP 06, 017 (2020)","journal-title":"JHEP"},{"key":"4700_CR4","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1007\/JHEP09(2021)169","volume":"09","author":"S Bhattacharyya","year":"2021","unstructured":"Bhattacharyya, S., Dhivakar, P., Dinda, A., Kundu, N., Patra, M., Roy, S.: A