Document Type



Mathematics | Physical Sciences and Mathematics

Publication Details

Journal of Mathematical Physics. © American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in "Brendan S. Guilfoyle, "Weyl-type fields with geodesic lines of force", J. Math. Phys. 40, 2032-2045 (1999) https://doi.org/10.1063/1.532849" and may be found at https://aip.scitation.org/doi/10.1063/1.532849.


The static electrogravitational equations are studied and it is shown that an aligned type D metric which has a Weyl-type relationship between the gravitational and electric potential has shearfree geodesic lines of force. All such fields are then found and turn out to be the fields of a charged sphere, charged infinite rod and charged infinite plate. A further solution is also found with shearing geodesic lines of force. This new solution can have m > |e| or m < |e|, but cannot be in the Majumdar-Papapetrou class (in which m = |e|). It is algebraically general and has flat equipotential surfaces.

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