Parametrization of U(N)-monopoles on black holes by the moduli space of holomorphic vector bundles over two-sphere and black hole entropy

Details Parametrization of U(N)-monopoles on black holes by the moduli space of holomorphic vector bundles over two-sphere and black hole entropy Parametrization of U(N)-monopoles on black holes by the moduli space of holomorphic vector bundles over two-sphere and black hole entropy

1996-11-08

arxiv.org/abs/gr-qc/9611021v2

Int.J.Mod.Phys.A12:3347-3364,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, LaTeX, minor modifications for correspondence to the published version

Scientific paper

10.1142/S0217751X97001754

We discuss how to describe U(N)-monopoles on the Schwarzschild and Reissner-Nordstr\"om black holes by the parameters of the moduli space of holomorphic vector bundles over S^2. For N = 2,3 we obtain such a description in an explicit form as well as the expressions for the corresponding monopole masses. This gives a possibility to adduce some reasonings in favour of existence of both a 'fine structure' for black holes and the statistical ensemble tied with it which might generate the black hole entropy. Also there arises some analogy with the famous K-theory in topology.

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