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U(N)-monopoles on Kerr black hole and its entropy

Yu. P. Goncharov
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Abstract

We describe U(N)-monopoles (N > 1) on Kerr black holes by the parameters of the moduli space of holomorphic vector U(N)-bundles over two-sphere with the help of the Grothendieck splitting theorem. For N = 2,3 we obtain this description in an explicit form as well as the estimates for the corresponding monopole masses. This gives a possibility to adduce some reasonings in favour of existence of both a fine structure for Kerr black holes and the statistical ensemble tied with it which might generate the Kerr black hole entropy.

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Yu. P. Goncharov. 1998-06-04. U(N)-monopoles on Kerr black hole and its entropy. https://doi.org/10.1142/s0217732398001571

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