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These are black holes with two equal-magnitude angular momenta, in which case extremal configurations are studied as well. Numerical evidence is also given for the existence of EGB generalizations of the Myers\u2013Perry black holes with a single plane of rotation and of the Emparan\u2013Reall balanced black rings. All solutions approach asymptotically the Minkowski background and present no singularities outside or on the horizon. The numerical results suggest that, for any mass of the solutions and any topology of the horizon, the rotating configurations exist up to a maximal value of the GB coupling constant, while the solutions with a spherical horizon topology still satisfy the Einstein gravity bound on angular momentum.<\/jats:p>","DOI":"10.3390\/universe9040156","type":"journal-article","created":{"date-parts":[[2023,3,23]],"date-time":"2023-03-23T03:07:57Z","timestamp":1679540877000},"page":"156","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Phases of Rotating Black Objects in d = 5 Einstein\u2013Gauss\u2013Bonnet Theory"],"prefix":"10.3390","volume":"9","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9751-4400","authenticated-orcid":false,"given":"Burkhard","family":"Kleihaus","sequence":"first","affiliation":[{"name":"Institute of Physics, University of Oldenburg, Postfach 2503, D-26111 Oldenburg, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7990-8713","authenticated-orcid":false,"given":"Jutta","family":"Kunz","sequence":"additional","affiliation":[{"name":"Institute of Physics, University of Oldenburg, Postfach 2503, D-26111 Oldenburg, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0503-896X","authenticated-orcid":false,"given":"Eugen","family":"Radu","sequence":"additional","affiliation":[{"name":"Centre for Research and Development in Mathematics and Applications (CIDMA), Campus de Santiago, 3810-183 Aveiro, Portugal"}]}],"member":"1968","published-online":{"date-parts":[[2023,3,23]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"498","DOI":"10.1063\/1.1665613","article-title":"The Einstein tensor and its generalizations","volume":"12","author":"Lovelock","year":"1971","journal-title":"J. Math. Phys."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"571","DOI":"10.1016\/S0550-3213(97)00572-5","article-title":"R**4 couplings in M- and type II theories on Calabi\u2013Yau spaces","volume":"507","author":"Antoniadis","year":"1997","journal-title":"Nucl. Phys. B"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1016\/0370-2693(96)00270-5","article-title":"M-Theory on a Calabi\u2013Yau Manifold","volume":"375","author":"Ferrara","year":"1996","journal-title":"Phys. Lett. B"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0550-3213(86)90429-3","article-title":"Superstring Modifications Of Einstein\u2019s Equations","volume":"277","author":"Gross","year":"1986","journal-title":"Nucl. Phys. B"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"354","DOI":"10.1016\/0370-2693(87)90622-8","article-title":"Two loop beta function for the generalized bosonic sigma model","volume":"191","author":"Metsaev","year":"1987","journal-title":"Phys. Lett. B"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"673","DOI":"10.1016\/0550-3213(89)90172-7","article-title":"Black holes in string theory","volume":"311","author":"Callan","year":"1988","journal-title":"Nucl. Phys. B"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"392","DOI":"10.1103\/PhysRevD.36.392","article-title":"Higher-derivative gravity, surface terms and string theory","volume":"36","author":"Myers","year":"1987","journal-title":"Phys. Rev. D"},{"key":"ref_8","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_9","doi-asserted-by":"crossref","first-page":"737","DOI":"10.1016\/0550-3213(86)90268-3","article-title":"Symmetric Solutions To The Gauss\u2013Bonnet Extended Einstein Equations","volume":"268","author":"Wheeler","year":"1986","journal-title":"Nucl. Phys. B"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"636","DOI":"10.1007\/BF02784569","article-title":"Schwarzschild field in n dimensions and the dimensionality of space problem","volume":"27","author":"Tangherlini","year":"1963","journal-title":"Nuovo Cim."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"3684","DOI":"10.1103\/PhysRevLett.70.3684","article-title":"Black Hole Entropy And Higher Curvature Interactions","volume":"70","author":"Jacobson","year":"1993","journal-title":"Phys. Rev. Lett."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"3427","DOI":"10.1103\/PhysRevD.48.R3427","article-title":"Black hole entropy is the Noether charge","volume":"48","author":"Wald","year":"1993","journal-title":"Phys. Rev. D"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1801","DOI":"10.1142\/S0217732308027497","article-title":"The Lovelock Black Holes","volume":"23","author":"Garraffo","year":"2008","journal-title":"Mod. Phys. Lett. A"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1007\/978-3-540-88460-6_8","article-title":"Higher order gravity theories and their black hole solutions","volume":"769","author":"Charmousis","year":"2009","journal-title":"Lect. Notes Phys."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"065002","DOI":"10.1088\/0264-9381\/26\/6\/065002","article-title":"Kerr\u2013Schild ansatz in Einstein\u2013Gauss\u2013Bonnet gravity: An exact vacuum solution in five dimensions","volume":"26","author":"Anabalon","year":"2009","journal-title":"Class. Quant. Grav."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"024045","DOI":"10.1103\/PhysRevD.77.024045","article-title":"Slowly Rotating Charged Gauss\u2013Bonnet Black holes in AdS Spaces","volume":"77","author":"Kim","year":"2008","journal-title":"Phys. Rev. D"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"709","DOI":"10.1134\/S1063776108040092","article-title":"Kerr-Gauss\u2013Bonnet Black Holes: Exact Analytical Solution","volume":"106","author":"Alexeyev","year":"2008","journal-title":"J. Exp. Theor. Phys."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"084030","DOI":"10.1103\/PhysRevD.102.084030","article-title":"Simply rotating higher dimensional black holes in Einstein\u2013Gauss\u2013Bonnet theory","volume":"102","author":"Konoplya","year":"2020","journal-title":"Phys. Rev. D"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1016\/j.physletb.2008.02.005","article-title":"Five-dimensional rotating black holes in Einstein\u2013Gauss\u2013Bonnet theory","volume":"661","author":"Brihaye","year":"2008","journal-title":"Phys. Lett. B"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"098","DOI":"10.1007\/JHEP11(2010)098","article-title":"Rotating black holes with equal-magnitude angular momenta in d=5 Einstein\u2013Gauss\u2013Bonnet theory","volume":"11","author":"Brihaye","year":"2010","journal-title":"J. High Energy Phys."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"101101","DOI":"10.1103\/PhysRevLett.88.101101","article-title":"A rotating black ring in five dimensions","volume":"88","author":"Emparan","year":"2002","journal-title":"Phys. Rev. Lett."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"304","DOI":"10.1016\/0003-4916(86)90186-7","article-title":"Black Holes In Higher Dimensional Space-Times","volume":"172","author":"Myers","year":"1986","journal-title":"Annals Phys."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"092","DOI":"10.1007\/JHEP02(2010)092","article-title":"Generalized Weyl solutions in d=5 Einstein\u2013Gauss\u2013Bonnet theory: The Static black ring","volume":"2","author":"Kleihaus","year":"2010","journal-title":"J. High Energy Phys."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1016\/j.physletb.2009.06.039","article-title":"d \u2265 5 static black holes with S2\u00d7Sd-4 event horizon topology","volume":"678","author":"Kleihaus","year":"2009","journal-title":"Phys. Lett. B"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1007\/JHEP01(2015)117","article-title":"Black ringoids: Spinning balanced black objects in d\u22655 dimensions \u2013 the codimension-two case","volume":"1","author":"Kleihaus","year":"2015","journal-title":"J. High Energy Phys."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"R169","DOI":"10.1088\/0264-9381\/23\/20\/R01","article-title":"Black Rings","volume":"23","author":"Emparan","year":"2006","journal-title":"Class. Quant. Grav."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1016\/j.physletb.2005.07.043","article-title":"Gravitating stationary dyons and rotating vortex rings","volume":"623","author":"Kleihaus","year":"2005","journal-title":"Phys. Lett. B"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"1279","DOI":"10.1007\/s10714-007-0604-2","article-title":"Stationary Dyonic Regular and Black Hole Solutions","volume":"40","author":"Kleihaus","year":"2008","journal-title":"Gen. Rel. Grav."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"084005","DOI":"10.1103\/PhysRevD.71.084005","article-title":"Five-dimensional black strings in Einstein\u2013Gauss\u2013Bonnet gravity","volume":"71","author":"Kobayashi","year":"2005","journal-title":"Phys. Rev. D"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"151104","DOI":"10.1103\/PhysRevLett.106.151104","article-title":"Rotating Black Holes in Dilatonic Einstein\u2013Gauss\u2013Bonnet Theory","volume":"106","author":"Kleihaus","year":"2011","journal-title":"Phys. Rev. Lett."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"044047","DOI":"10.1103\/PhysRevD.93.044047","article-title":"Spinning black holes in Einstein\u2013Gauss\u2013Bonnet\u2013dilaton theory: Nonperturbative solutions","volume":"93","author":"Kleihaus","year":"2016","journal-title":"Phys. Rev. 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