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U(N)-monopoles on black holes |
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| Institution: | 1. Key Laboratory of Radiation Physics and Technology of Ministry of Education, Institute of Nuclear Science and Technology, Sichuan University, Chengdu 610064, PR China;2. Key Laboratory of Biological Resources and Ecological Environment of the Ministry of Education, College of Life Sciences, Sichuan University, Chengdu 610064, PR China |
| Abstract: | We use the classification of complex line bundles over S2 and the Grothendieck splitting theorem to find a range of infinite sets of U(N)-magnetic monopoles at N ⩾ 1 on 4D black holes of the Schwarzschild and Reissner-Nordström types. We estimate the monopole masses and show that under certain conditions these monopoles might exist as quantum objects residing in the black holes under consideration. |
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