Coulomb field of an accelerated charge: physical and mathematical aspects

Abstract

The Maxwell field equations relative to a uniformly accelerated frame, and the variational principle from which they are obtained, are formulated in terms of the technique of geometrical gauge invariant potentials. They refer to the transverse magnetic (TM) and the transeverse electric (TE) modes. This gauge invariant "2+2" decomposition is used to see how the Coulomb field of a charge, static in an accelerated frame, has properties that suggest features of electromagnetism which are different from those in an inertial frame. In particular, (1) an illustrative calculation shows that the Larmor radiation reaction equals the electrostatic attraction between the accelerated charge and the charge induced on the surface whose history is the event horizon, and (2) a spectral decomposition of the Coulomb potential in the accelerated frame suggests the possibility that the distortive effects of this charge on the Rindler vacuum are akin to those of a charge on a crystal lattice.

27 pages, PlainTex. Related papers available at http://www.math.ohio-state.edu/~gerlach

Cited by in corpus (7)

• Entropy of Static Spacetimes and Microscopic Density of States
• Edge State Quantization: Vector Fields in Rindler
• Radiation from a charged particle and radiation reaction -- revisited
• Double (implicit and explicit) dependence of the electromagnetic field of an accelerated charge on time: Mathematical and physical analysis of the problem
• Radiation from Violently Accelerated Bodies
• Paired accelerated arames: The perfect interferometer with everywhere smooth wave amplitudes
• Comments on "Thermodynamics and/of horizons : A comparison of Schwarzschild, Rindler and de Sitter spacetimes" (ArXiv : gr-qc/0202078), by T.Padmanabhan