CLASSICAL CHARGED PARTICLES IN ARBITRARY MOTION - Theoretical and Computational Research in the 21st Century - page 141

6.3 RESULTS

It was possible to deduce nonlocal superpotential for the radiative part
of the Maxwell tensor associated to the Liénard-Wiechert field. A Petrov
classification was introduced of the electromagnetic field produced by a
charged particle in arbitrary motion, and it was proved that it has Type II.
In our analysis, the Minkowskian spintensor concept was relevant because
it enabled us to establish a connection between the Weert superpotential
and the gravitational Lanczos potential for the Weyl tensor in general rela-
tivity. The participation of the Fermi triad was original and fundamental
over the point charge trajectory.

6.4 CONCLUSION

In our study, the relationship between the electromagnetic superpotentials
in the Minkowski space and the Lanczos spin tensor in curved space times
is clear; it is then necessary to investigate this important connection. For
example, the physical meaning of Lanczos potential is an open problem,
whose solution can be useful to understand the corresponding meaning of
nonlocal superpotential for the radiative part.

KEYWORDS

• Faraday tensor

• Li é nard-Wiechert field

• Super potentials for the bounded and radiative parts of

Maxwell tensor

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fields. Phys. Rev . 1970, D1, 1572-1582.
4. Teitelboim, C.; Splitting of the Maxwell tensor. II. Sources. Phys. Rev . 1971, D3,
297-298.
5. Miglietta, F.; Electromagnetic quadripotential for the pure radiation field generated by
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