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

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.

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

References in corpus (3)

• Microscopic Origin of the Bekenstein-Hawking Entropy
• Statistical Origin of Black Hole Entropy in Induced Gravity
• Parametrization of U(N)-monopoles on black holes by the moduli space of holomorphic vector bundles over two-sphere and black hole entropy

Cited by in corpus (4)

• Dirac equation in the confining SU(3)-Yang-Mills field and relativistic effects in charmonium spectrum
• Magnetic monopole bibliography
• Twisted spinors on Schwarzschild and Reissner-Nordstrom black holes
• Dirac monopoles on Kerr black holes: comparing gauges