Twisted spinors on Schwarzschild and Reissner-Nordstrom black holes

Abstract

We describe twisted configurations of spinor field on the Schwarzschild and Reissner-Nordström black holes that arise due to existence of the twisted spinor bundles over the standard black hole topology. From a physical point of view the appearance of spinor twisted configurations is linked with the natural presence of Dirac monopoles that play the role of connections in the complex line bundles corresponding to the twisted spinor bundles. Possible application to the Hawking radiation is also outlined.

10 pages, LaTeX with using elsart.sty

References in corpus (3)

• U(N)-monopoles on Kerr black hole and its entropy
• Correct statement of a scattering problem for quantum charged scalar particles on the Reissner-Nordström black holes
• Dirac monopoles on Kerr black holes: comparing gauges

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