Dirac monopoles on Kerr black holes: comparing gauges
Yu. P. Goncharov (Sankt-Petersburg State Technical Unversity)
TL;DR
This paper explores the description of Dirac monopoles on Kerr black holes using different gauge choices, revealing new features and insights into twisted scalar field configurations in curved spacetime.
Contribution
It introduces a new gauge perspective for describing Dirac monopoles on Kerr black holes, expanding understanding of twisted scalar configurations in this context.
Findings
Identification of gauge-dependent features of Dirac monopoles
Comparison of different gauge descriptions reveals new physical properties
Enhanced understanding of scalar field configurations on Kerr black holes
Abstract
We update our previous work on the description of twisted configurations for complex massless scalar field on the Kerr black holes as the sections of complex line bundles over the Kerr black hole topology. From physical point of view the appearance of twisted configurations is linked with the natural presence of Dirac monopoles that arise as connections in the above line bundles. We consider their description in the gauge inequivalent to the one studied previously and discuss a row of new features appearing in this gauge.
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