Gyromagnetic ratio of a black hole

We examine the properties of a rotating loop of charged matter in the presence of a static charged black hole. The behavior of the gyromagnetic ratio is examined in the limit as the radius of the loop becomes very large and in the limit as the loop radius approaches the radius of the black hole's event horizon. The implications of these results for the gyromagnetic ratio of a black hole are discussed. For large radii of the loop the gyromagnetic ratio reduces to the value computed for a loop in classical electromagnetism, which has $g=1\mathrm{}$. As the radius of the loop approaches the horizon, the ratio approaches that for a black hole which has $g=2\mathrm{}$, like an electron. The latter result is also true for a neutral loop; hence, magnetic-monopole black holes that accrete matter with angular momentum have gravitationally induced electric fields.