Exact density-potential pairs from the holomorphic Coulomb field
arXiv:astro-ph/0701388 · doi:10.1111/j.1365-2966.2007.11497.x
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.
arXiv comment8 pages, 2 figures, MNRAS accepted
References in corpus (14)
- A Family of Models for Spherical Stellar Systems
- Modeling Intra-Cluster Gas in Triaxial Dark Halos : An Analytical Approach
- Axisymmetric and triaxial MOND density-potential pairs
- Reconstructing Three-dimensional Structure of Underlying Triaxial Dark Halos From Xray and Sunyaev-Zel'dovich Effect Observations of Galaxy Clusters
- The energetics of flat and rotating early-type galaxies and their X-ray luminosity
- Superposition of Weyl solutions: The equilibrium forces
- Electromagnetic Magic: The Relativistically Rotating Disk
- A simple method to construct exact density-potential pairs from a homeoidal expansion
- Distributional Sources for Newman's Holomorphic Field
- Geodesics around Weyl-Bach's Ring Solution
- The Relativistically Spinning Charged Sphere
- Collisionless evaporation from cluster elliptical galaxies: a contributor to the intracluster stellar population
- Collisionless evaporation from cluster elliptical galaxies
- Self-consistent stellar dynamical tori
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- Analytical potential-density pairs from complex-shifted Kuzmin-Toomre discs