Magnetic field of a current loop around a Schwarzschild black hole

Details Magnetic field of a current loop around a Schwarzschild black hole Magnetic field of a current loop around a Schwarzschild black hole

Nov 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974phrvd..10.3166p&link_type=abstract

Physical Review D, vol. 10, Issue 10, pp. 3166-3170

Physics

46

Scientific paper

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.

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