Electrodynamics in accelerated frames revisited
Version of Record online: 30 AUG 2010
Copyright © 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Annalen der Physik
Volume 522, Issue 10, pages 766–775, October 2010
How to Cite
Maluf, J.W. and Ulhoa, S.C. (2010), Electrodynamics in accelerated frames revisited. Ann. Phys., 522: 766–775. doi: 10.1002/andp.201000040
- Issue online: 20 SEP 2010
- Version of Record online: 30 AUG 2010
- Manuscript Accepted: 7 AUG 2010
- Manuscript Revised: 5 JUL 2010
- Manuscript Received: 3 APR 2010
- accelerated frames;
- electromagnetic radiation;
- tetrad fields.
Maxwell's equations are formulated in arbitrary moving frames by means of tetrad fields, which are interpreted as reference frames adapted to observers in space-time. We assume the existence of a general distribution of charges and currents in an inertial frame. Tetrad fields are used to project the electromagnetic fields and sources on accelerated frames. The purpose is to study several configurations of fields and observers that in the literature are understood as paradoxes. For instance, are the two situations, (i) an accelerated charge in an inertial frame, and (ii) a charge at rest in an inertial frame described from the perspective of an accelerated frame, physically equivalent? Is the electromagnetic radiation the same in both frames? Normally in the analysis of these paradoxes the electromagnetic fields are transformed to (uniformly) accelerated frames by means of a coordinate transformation of the Faraday tensor. In the present approach coordinate and frame transformations are disentangled, and the electromagnetic field in the accelerated frame is obtained through a frame (local Lorentz) transformation. Consequently the fields in the inertial and accelerated frames are described in the same coordinate system. This feature allows the investigation of paradoxes such as the one mentioned above.