  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.
