Astrophysics and Space Science

, Volume 58, Issue 2, pp 427–440 | Cite as

Determination of the electromagnetic field produced by a magnetic oblique-rotator

I. Lowest-order solutions
  • Osamu Kaburaki


Approximate solutions for the electromagnetic fields produced by a uniformly magnetized oblique rotator in vacuum are derived systematically in various regions by using general relativistic considerations. The results, which are expressed in compact vector notation, are compared with the component expression of Deutsch (1955) and Backus (1956). In our method, the potentials (ϕ, A) and fields (E, B) due to the rotating magnet are represented in terms of the vector potential for a rest magnet, with the proper correction for rotation. In doing this, the transformation laws for various quantities between the rest and rotating frames play important roles. The meaning of ‘rotating’ magnetic field lines is also considered in connection with the apparent paradox in the gedanken-experiment of a unipolar inductor.


Magnetic Field Approximate Solution Electromagnetic Field Field Line Vector Potential 
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Copyright information

© D. Reidel Publishing Company 1978

Authors and Affiliations

  • Osamu Kaburaki
    • 1
  1. 1.Astronomical Institute, Faculty of ScienceTôhoku UniversitySendai, MiyagiJapan

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