Dirac Monopoles and Hawking radiation in Kottler spacetime

TL;DR

This paper explores how Dirac monopoles could exist around black holes in Kottler spacetime with a nonzero cosmological constant, potentially affecting Hawking radiation processes.

Contribution

It demonstrates the possibility of topologically nontrivial field configurations, including Dirac monopoles, around black holes in Kottler spacetime and their impact on Hawking radiation.

Findings

Dirac monopoles can be associated with black holes in Kottler spacetime.

Presence of monopoles may significantly alter Hawking radiation.

Topologically inequivalent field configurations are possible in this setting.

Abstract

The natural extension of Schwarzschild metric to the case of nonzero cosmological constant $\Lambda$ known as the Kottler metric is considered and it is discussed under what circumstances the given metric could describe the Schwarzschild black hole immersed in a medium with nonzero energy density. Under the latter situation such an object might carry topologically inequivalent configurations of various fields. The given possibility is analysed for complex scalar field and it is shown that the mentioned configurations might be tied with natural presence of Dirac monopoles on black hole under consideration. In turn, this could markedly modify the Hawking radiation process.