标题： 磁荷黑洞：两种电磁势的理论 显示英文标题

标题： Dyonic black holes: The theory of two electromagnetic potentials

摘要： 在本文中，我们认为必须在两种电磁势理论中研究磁电黑洞时空，并使用磁电Reissner-Nordström解来证明单极磁荷的场由对偶电磁势的$t$-分量正确描述。 因此，与通常电磁四势的$\varphi$-分量相关的狄拉克弦仅是一个数学对象，没有任何物理内容，它在某些计算中当采用不对称的电磁场表示时会出现。 我们使用三种不同但等效的电磁能动张量形式来计算Reissner-Nordström黑洞的Komar质量，在一种情况下，狄拉克弦与磁荷相关，在另一种情况下与电荷相关，而第三种对称情况则没有弦。 显示英文摘要

摘要： In the present paper we argue that the dyonic black hole spacetimes must be studied within the theory of two electromagnetic potentials, and we use the dyonic Reissner-Nordstr\"om solution to demonstrate that the field of the monopole magnetic charge is correctly described by the $t$-component of the dual electromagnetic potential. As a result, the Dirac string associated with the $\varphi$-component of the usual electromagnetic 4-potential becomes just a mathematical object, without any physical content, that arises in some calculations when one employs unsymmetrical representations of the electromagnetic field. We use three different, though equivalent, forms of the electromagnetic energy-momentum tensor to calculate the Komar mass of the Reissner-Nordstr\"om black hole, and in one case the Dirac string is linked to the magnetic charge, in another to the electric charge, while the third, symmetrical case, is string-free.