Ibadov, Rustam; Kleihaus, Burkhard; Kunz, Jutta; Shnir, Yasha New regular solutions with axial symmetry in Einstein-Yang-Mills theory. (English) Zbl 1247.83022 Phys. Lett., B 609, No. 1-2, 150-156 (2005). Summary: We construct new regular solutions in Einstein-Yang-Mills theory. They are static, axially symmetric and asymptotically flat. They are characterized by a pair of integers \((k,n)\), where \(k\) is related to the polar angle and \(n\) to the azimuthal angle. The known spherically and axially symmetric EYM solutions have \(k=1\). For \(k>1\) new solutions arise, which form two branches. They exist above a minimal value of \(n\), that increases with \(k\). The solutions on the lower mass branch are related to certain solutions of Einstein-Yang-Mills-Higgs theory, where the nodes of the Higgs field form rings. Cited in 3 Documents MSC: 83C15 Exact solutions to problems in general relativity and gravitational theory 81T13 Yang-Mills and other gauge theories in quantum field theory Keywords:Einstein-Yang-Mills theory; axially symmetric asymptotically flat solutions Software:CADSOL PDFBibTeX XMLCite \textit{R. Ibadov} et al., Phys. Lett., B 609, No. 1--2, 150--156 (2005; Zbl 1247.83022) Full Text: DOI arXiv References: [1] Bartnik, R.; McKinnon, J., Phys. Rev. Lett., 61, 141 (1988) [2] Künzle, H. P.; Masoud-ul-Alam, A. K.M., J. Math. Phys., 31, 928 (1990) [3] Volkov, M. S.; Brodbeck, O.; Lavrelashvili, G.; Straumann, N., Phys. Lett. B, 349, 438 (1995) [4] Kleihaus, B.; Kunz, J., Phys. Rev. D, 57, 6138 (1998) [5] Breitenlohner, P.; Forgacs, P.; Maison, D., Nucl. Phys. B, 442, 126 (1995) [6] Hartmann, B.; Kleihaus, B.; Kunz, J., Phys. Rev. D, 65, 024027 (2002) [7] Kleihaus, B.; Kunz, J., Phys. Rev. Lett., 85, 2430 (2000) [8] Kleihaus, B.; Kunz, J.; Shnir, Ya., Phys. Rev. D, 70, 065010 (2004) [9] Kleihaus, B.; Kunz, J.; Shnir, Ya., Phys. Rev. D, 71, 024013 (2005) [10] M. Schauder, R. Weiß, W. Schönauer, The CADSOL Program Package, Universität Karlsruhe, Interner Bericht Nr. 46/92 (1992); M. Schauder, R. Weiß, W. Schönauer, The CADSOL Program Package, Universität Karlsruhe, Interner Bericht Nr. 46/92 (1992) [11] Kleihaus, B.; Kunz, J.; Navarro-Lérida, F., Phys. Lett. B, 599, 294 (2004) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.