Electromagnetic Magic: The Relativistically Rotating Disk

D. Lynden-Bell

Electromagnetic Magic: The Relativistically Rotating Disk

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arxiv gr-qc/0410109 v1 pith:2P5DVQBW submitted 2004-10-21 gr-qc

D. Lynden-Bell This is my paper

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keywords fielddiskelectromagneticmagicrotatinganalyticangularargument

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abstract

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 3 Legendre functions each of a different argument, is demonstrated.

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