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Exact density-potential pairs from the holomorphic Coulomb field

L. Ciotti·G. Giampieri
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Abstract

We show how the complex-shift method introduced by Appell in gravity to the case of a point mass (and applied among others in electrodynamics by Newman, Carter, Lynden-Bell, and Kaiser to determine remarkable properties of the electromagnetic field of rotating charged configurations), can be extended to obtain new and explicit density-potential pairs for self-gravitating systems departing significantly from spherical symmetry. The rotational properties of two axysimmetric baroclinic gaseous configurations derived with the proposed method are illustrated.

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L. Ciotti, G. Giampieri. 2007-01-12. Exact density-potential pairs from the holomorphic Coulomb field. https://doi.org/10.1111/j.1365-2966.2007.11497.x

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