Analytical potential-density pairs from complex-shifted Kuzmin-Toomre discs
arXiv:0908.0872 · doi:10.1111/j.1365-2966.2009.15217.x
Abstract
The complex-shift method is applied to the Kuzmin-Toomre family of discs to generate a family of non-axisymmetric flat distributions of matter. These are then superposed to construct non-axisymmetric flat rings. We also consider triaxial potential-density pairs obtained from these non-axisymmetric flat systems by means of suitable transformations. The use of the imaginary part of complex-shifted potential-density pairs is also discussed.
20 pages, 7 figures, accepted for publication in MNRAS
References in corpus (7)
- Exact General Relativistic Perfect Fluid Disks with Halos
- Exact General Relativistic Thick Disks
- Analytical Potential-Density Pairs for Flat Rings and Toroidal Structures
- Geodesics around Weyl-Bach's Ring Solution
- Exact density-potential pairs from the holomorphic Coulomb field
- New Models of General Relativistic Static Thick Disks
- Exact density-potential pairs from complex shifted axisymmetric systems