The radiation of a uniformly accelerated charge is beyond the horizon: a simple derivation

Abstract

We show, by exploring some elementary consequences of the covariance of Maxwell's equations under general coordinate transformations, that, despite inertial observers can indeed detect electromagnetic radiation emitted from a uniformly accelerated charge, comoving observers will see only a static electric field. This simple analysis can help understanding one of the most celebrated paradoxes of last century.

Revtex, 6 pages, 2 figures. v2: Some small corrections. v3: Citation of a earlier paper included. v4: Some stylistic changes. v5: Final version to appear in AJP

Cited by in corpus (9)

• Relativistic invariance of Lyapunov exponents in bounded and unbounded systems
• Influence of the dispersion relation on the Unruh effect according to the relativistic Doppler shift method
• Electrodynamics in accelerated frames revisited
• A road map for Feynman's adventures in the land of gravitation
• Discrepancy between power radiated and the power loss due to radiation reaction for an accelerated charge
• Light propagating in a Born-Infeld background as seen by an accelerated observer
• Gravitational bremsstrahlung and the Fulling-Davies-Unruh thermal bath
• Gravity and decoherence: the double slit experiment revisited
• Bending of electric field lines and light-ray trajectories in a static gravitational field