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

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

1998-06-04

arxiv.org/abs/gr-qc/9806020v1

Mod.Phys.Lett. A13 (1998) 1495-1507

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, LaTeX with using the mpla1.sty file from the package of World Scientific Publishing Co

Scientific paper

10.1142/S0217732398001571

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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