Dirac Monopoles in the Ernst--Schwarzschild Spacetime

TL;DR

This paper explores the existence of Dirac monopole solutions in the Ernst--Schwarzschild spacetime and discusses their potential impact on Hawking radiation, providing explicit solutions within this context.

Contribution

It presents explicit Dirac monopole solutions in the Ernst--Schwarzschild metric and examines their possible effects on Hawking radiation, a novel analysis in this spacetime.

Findings

Explicit Dirac monopole solutions are found in Ernst--Schwarzschild spacetime.

Potential influence of Dirac monopoles on Hawking radiation is outlined.

The solutions contribute to understanding electromagnetic phenomena near black holes.

Abstract

It is discussed that the Ernst--Schwarzschild metric describing a nonrotating black hole in the external magnetic field admits the solutions of the Dirac monopole types for the corresponding Maxwell equations. The given solutions are obtained in explicit form and a possible influence of the conforming Dirac monopoles on Hawking radiation is also outlined.