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

10 pages, one figure

References in corpus (5)

• On a Classical, Geometric Origin of Magnetic Moments, Spin-Angular Momentum and the Dirac Gyromagnetic Ratio
• Disc sources for Conformastationary metrics
• Distributional Sources for Newman's Holomorphic Field
• The Relativistically Spinning Charged Sphere
• Rotating Astrophysical Systems and a Gauge Theory Approach to Gravity

Cited by in corpus (19)

• The Kerr-Newman metric: A Review
• Rotating Spacetimes with Asymptotic Non-Flat Structure and the Gyromagnetic Ratio
• The massive Dirac field on a rotating black hole spacetime: Angular solutions
• Exact density-potential pairs from the holomorphic Coulomb field
• A Newtonian analogue of Kerr black hole
• Exact density-potential pairs from complex shifted axisymmetric systems
• Quasi-Local Energy of a Charged Rotating Object Described by the Kerr-Newman Metric
• The Dirac point electron in zero-gravity Kerr--Newman spacetime
• Electromagnetic Fields of Separable Space-Times
• Kaehler geometry of black holes and gravitational instantons
• Gyromagnetic factor of rotating disks of electrically charged dust in general relativity
• Accelerating electromagnetic magic field from the C-metric
• A novel quantum-mechanical interpretation of the Dirac equation
• On the discrete Dirac spectrum of a point electron in the zero-gravity Kerr-Newman spacetime
• Complex conformal transformations and zero-rest-mass fields
• Point particles and Appell's solutions on the axis of Kerr black hole for arbitrary spin in terms of the Debye potentials
• Interacting Kerr-Newman Electromagnetic Fields
• Poincaré asymptotic expansion in black hole theory
• Non-Uniqueness of the Lienard-Wiechert Potential