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 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.
- Publication:
-
Physical Review D
- Pub Date:
- November 2004
- DOI:
- 10.1103/PhysRevD.70.105017
- arXiv:
- arXiv:gr-qc/0410109
- Bibcode:
- 2004PhRvD..70j5017L
- Keywords:
-
- 03.50.De;
- 02.30.Em;
- 04.40.Nr;
- 14.60.Cd;
- Classical electromagnetism Maxwell equations;
- Potential theory;
- Einstein-Maxwell spacetimes spacetimes with fluids radiation or classical fields;
- Electrons;
- General Relativity and Quantum Cosmology
- E-Print:
- 10 pages, one figure