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Petrov Classification of the Liénard–Wiechert Field

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Abstract:

Newman [1] showed analogies between the Liénard–Wiechert field [2-7] and the Robinson-Trautman (RT) solutions [8-10] of the Einstein gravitational equations. Here we present one more analogy: The Maxwell field produced by a point charge in arbitrary motion has the same algebraic type as the RT metrics. This result is possible because the Weert superpotential [3, 6, 7, 11-16] permits to construct an “electromagnetic Weyl tensor” which admits the Petrov classification [8, 17-24] as in general relativity.

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Periodical:
International Frontier Science Letters (Volume 2)
Pages:
16-17
Citation:
J. L. Lopez-Bonilla et al., "Petrov Classification of the Liénard–Wiechert Field", International Frontier Science Letters, Vol. 2, pp. 16-17, 2014
Online since:
October 2014
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