Phys. Rev. D 70, 105017 (2004) [10 pages]Electromagnetic magic: The relativistically rotating diskReceived 28 September 2004; published 29 November 2004 A closed form analytic solution is found for the electromagnetic field of the charged uniformly rotating conducting disk for all values of the tip speed v up to c. For v=c it becomes the magic field of the Kerr-Newman black hole with G set to zero. The field energy, field angular momentum, and gyromagnetic ratio are calculated and compared with those of the electron. A new mathematical expression that sums products of three Legendre functions, each of a different argument, is demonstrated. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.70.105017
DOI:
10.1103/PhysRevD.70.105017
PACS:
03.50.De, 02.30.Em, 04.40.Nr, 14.60.Cd
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