Electromagnetic magic: The relativistically rotating disk
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 KerrNewman 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.
 Publication:

Physical Review D
 Pub Date:
 November 2004
 DOI:
 10.1103/PhysRevD.70.105017
 arXiv:
 arXiv:grqc/0410109
 Bibcode:
 2004PhRvD..70j5017L
 Keywords:

 03.50.De;
 02.30.Em;
 04.40.Nr;
 14.60.Cd;
 Classical electromagnetism Maxwell equations;
 Potential theory;
 EinsteinMaxwell spacetimes spacetimes with fluids radiation or classical fields;
 Electrons;
 General Relativity and Quantum Cosmology
 EPrint:
 10 pages, one figure