Magnetic field of a current loop around a Schwarzschild black hole

Abstract

A multipole expansion for arbitrary quasistatic axisymmetric magnetic fields in a Schwarzschild background metric is found from Maxwell's equations in curved space-time. Using this expansion, the magnetic field of a quasistatic current loop located symmetrically around a Schwarzschild black hole is obtained. The field both inside and outside the loop is calculated, and the behavior of its dipole part is shown explicitly in certain limiting cases.

Identifiers

DOI

10.1103/physrevd.10.3166

Citations and references