Abstract
Considering the static axially symmetric metric ofWeyl and then using a result obtained byPerjés, a generalized relation between theg 44 component of the metric tensor, the electrostatic (or magnetostatic in view ofPerjés result) potential and the Brans-Dicke (BD) scalar field has been obtained for the BD Maxwell fields when both electric and magnetic fields are present. Further, using this relation, a theorem has been given at the end which enables one to generate the BD Maxwell solutions from the known solutions of the BD vacuum fields.
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Rao, P.P., Tiwari, R.N. A class of static weyl solutions for the Brans-Dicke Maxwell fields. Acta Physica 45, 285–291 (1978). https://doi.org/10.1007/BF03158155
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DOI: https://doi.org/10.1007/BF03158155