Interacting Kerr-Newman Electromagnetic Fields

Abstract

In this paper, we study some of the properties of the $G\to 0$ limit of the Kerr-Newman solution of Einstein-Maxwell equations. Noting Carter's observation of the near equality between the $g=2$ gyromagnetic ratio in the Kerr-Newman solution and that of the electron, we discuss additional such coincidences relating to the Kerr-Newman multipoles and properties of the electron. In contrast to the Coulomb field, this spinning Maxwell field has a finite Lagrangian. Moreover, by evaluating the Lagrangian for the superposition of two such Kerr-Newman electromagnetic fields on a flat background, we are able to find their interaction potential. This yields a correction to the Coulomb interaction due to the spin of the field.

30 pages, 11 figures, 3 tables

References in corpus (21)

• Black holes and the double copy
• Gravitational scattering, post-Minkowskian approximation and Effective One-Body theory
• A new bound on the electron's electric dipole moment
• On Why Disks Generate Magnetic Towers and Collimate Jets
• Scattering of two spinning black holes in post-Minkowskian gravity, to all orders in spin, and effective-one-body mappings
• Kerr Black Holes as Elementary Particles
• The role of the Riemann-Silberstein vector in classical and quantum theories of electromagnetism
• Spinning-black-hole scattering and the test-black-hole limit at second post-Minkowskian order
• Gravitational Couplings of Intrinsic Spin
• Weyl metrics and wormholes
• Zero mass limit of Kerr spacetime is a wormhole
• On the Quantum-Mechanics of a Single Photon
• Strong photon coupling to the quadrupole moment of an electron in solid state
• Electromagnetic Magic: The Relativistically Rotating Disk
• Ring wormholes via duality rotations
• The massive Dirac field on a rotating black hole spacetime: Angular solutions
• Distributional Sources for Newman's Holomorphic Field
• Gravitationally induced electromagnetism at the Compton scale
• 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
• The Einstein-Infeld-Hoffmann legacy in mathematical relativity II. Quantum laws of motion