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The natural extension of Schwarzschild metric to the case of nonzerocosmological constant $\Lambda$ known as the Kottler metric is considered andit is discussed under what circumstances the given metric could describe theSchwarzschild black hole immersed in a medium with nonzero energy density.Under the latter situation such an object might carry topologicallyinequivalent configurations of various fields. The given possibility isanalysed for complex scalar field and it is shown that the mentionedconfigurations might be tied with natural presence of Dirac monopoles on blackhole under consideration. In turn, this could markedly modify the Hawkingradiation process.Comment: 11 pages, LaTeX with using the ijmpa1.sty file from the package of  World Scientific Publishing C

DIRAC MONOPOLES AND HAWKING RADIATION IN KOTTLER SPACETIME