Exact density–potential pairs from the holomorphic Coulomb field

We show how the complex-shift method developed by Appell to study the gravitational field of a point mass (and used in electrodynamics by, among others, Newman, Carter, Lynden-Bell, and Kaiser to determine some remarkable properties of the electromagnetic field of rotating charged configurations) ca...

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Bibliographic Details
Published in:Monthly notices of the Royal Astronomical Society 2007-04, Vol.376 (3), p.1162-1168
Main Authors: Ciotti, Luca, Giampieri, Giacomo
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics
celestial mechanics
Earth, ocean, space
Electromagnetism
Exact sciences and technology
galaxies: kinematics and dynamics
Gases
Gravity
stellar dynamics
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Summary:We show how the complex-shift method developed by Appell to study the gravitational field of a point mass (and used in electrodynamics by, among others, Newman, Carter, Lynden-Bell, and Kaiser to determine some 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 axisymmetric baroclinic gaseous configurations derived with the proposed method are illustrated.
ISSN:0035-8711
1365-2966
DOI:10.1111/j.1365-2966.2007.11497.x