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.

arXiv commentRevtex, 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

References in corpus (5)

• Radiation reaction in quantum field theory
• Radiation from a charged particle and radiation reaction -- revisited
• The Lorentz-Dirac force from QED for linear acceleration
• The phase-space structure of the Klein-Gordon field
• Do Inertial Electric Charges Radiate with Respect to Uniformly Accelerated Observers?

Cited by in corpus (19)

• Relativistic invariance of Lyapunov exponents in bounded and unbounded systems
• Twisted soft photon hair implants on Black Holes
• Influence of the dispersion relation on the Unruh effect according to the relativistic Doppler shift method
• Tracking the radiation reaction energy when charged bodies accelerate
• A physically-motivated quantisation of the electromagnetic field on curved spacetimes
• Electrodynamics in accelerated frames revisited
• Comment on "Preacceleration without radiation: The nonexistence of preradiation phenomenon," by J.A. Heras [Am. J. Phys. 74, 1025 (2006)]
• A shadow of the repulsive Rutherford scattering in the fixed-target and the center-of-mass frame
• Radiation from charged particles due to explicit symmetry breaking in a gravitational field
• 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
• A discontinuity in the electromagnetic field of a uniformly accelerated charge
• Rindler horizon entropy from nonstationarity
• On radiation due to homogeneously accelerating sources
• 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
• Implications of a non-zero Poynting flux at infinity sans radiation reaction for a uniformly accelerated charge
• Bending of electric field lines and light-ray trajectories in a static gravitational field