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

@article{Almeida2005TheRO, title={The radiation of a uniformly accelerated charge is beyond the horizon: A simple derivation}, author={Camila de Almeida and Alberto Saa}, journal={American Journal of Physics}, year={2005}, volume={74}, pages={154-158} }

By exploring some elementary consequences of the covariance of Maxwell’s equations under general coordinate transformations, we show that even though inertial observers can detect electromagnetic radiation emitted from a uniformly accelerated charge, comoving observers will see only a static electric field. This analysis can add insight into one of the most celebrated paradoxes of the last century.

## 37 Citations

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## References

SHOWING 1-10 OF 18 REFERENCES

### Electrodynamics of Hyperbolically Accelerated Charges: II. Does a Charged Particle with Hyperbolic Motion Radiate?

- Physics
- 2000

Abstract The question whether a hyperbolically moving charge emits radiation is discussed. In order to arrive at an unambiguous answer the question is considered from several points of view. The…

### Electrodynamics of Hyperbolically Accelerated Charges: I. The Electromagnetic Field of a Charged Particle with Hyperbolic Motion

- Physics, Mathematics
- 2000

Abstract The electromagnetic field of a charged particle with hyperbolic motion is described. The field of a particle with eternal hyperbolic motion is found by taking the limit of a situation with…

### Lorentz-Dirac force from QED for linear acceleration

- Physics
- 2004

We investigate the motion of a wave packet of a charged scalar particle linearly accelerated by a static potential in quantum electrodynamics. We calculate the expectation value of the position of…

### Electrodynamics of Hyperbolically Accelerated Charges. IV. Energy-Momentum Conservation of Radiating Charged Particles

- Physics
- 2002

Abstract The relativistic equation of motion of a radiating charge is discussed with special emphasis upon a clarification of the significance of the Schott energy for the energy-momentum…

### Electrodynamics of Hyperbolically Accelerated Charges: III. Energy–Momentum of the Field of a Hyperbolically Moving Charge

- Physics
- 2000

Abstract We give a detailed description of the energy–momentum relationships of the Bondi–Gold field. The Schott field is separated into a near field and a radiation field. The physical significance…

### Radiation reaction in quantum field theory

- Physics
- 2002

We investigate radiation-reaction effects for a charged scalar particle accelerated by an external potential realized as a space-dependent mass term in quantum electrodynamics. In particular, we…

### The Phase-Space Structure of the Klein-Gordon Field

- Physics
- 1993

Abstract The formalism based on the equal-time Wigner function of the two-point correlation function for a quantized Klein-Gordon field is presented. The notion of the gauge-invariant Wigner…

### Radiation from a charged particle and radiation reaction reexamined

- Physics
- 1998

We study the electromagnetic fields of an arbitrarily moving charged particle and the radiation reaction on the charged particle using a novel approach. We first show that the fields of an…