Geometrization of the Lienard-Wiechert Field
نویسنده
چکیده
A geometric description of the Lienard-Wiechert field of a single point charge is given. The dual of the Lienard-Wiechert field can be considered as the curvature in a bundle of 2-planes distributed smoothly over space-time. This geometric construction also accounts for the Teitelboim splitting of the total field into bound and radiative parts: The radiation field can be identified with the curvature in the normal bundle. Various questions concerning potentials and the integrability of the distributions involved are discussed. Whereas the intrinsic symmetry group for the field is that of the 2-plane bundle, namely SO (2), the normal bundle approach leads to the group SO (1,1) as the internal symmetry group for the radiation field.
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