Potential-density pairs for bent bars
arXiv:1012.5576 · doi:10.1111/j.1365-2966.2010.17857.x
Abstract
A method is presented to bend a thin massive line when the curvature is small. The procedure is applied to a homogeneous thin bar with two types of curvatures. One of them mimics a galactic bar with two spiral arms at its tips. It is showed that if the bending function is a linear combination of Legendre polynomials, then the bent potential is an exact solution of the Laplace equation. A transformation is applied on the thin bent bars to generate three-dimensional potential-density pairs without singularities. The potentials of the thin bent bars are also used to generate non-axisymmetric planar distributions of matter.
25 pages, 8 figures, accepted for publication in MNRAS
References in corpus (18)
- The Frequency of Barred Spiral Galaxies in the Near-IR
- Dynamics of Barred Galaxies
- A subarcsecond resolution near-infrared study of Seyfert and `normal' galaxies: II. Morphology
- Gas Inflow in Barred Galaxies - Effects of Secondary Bars
- Density Waves Inside Inner Lindblad Resonance: Nuclear Spirals in Disk Galaxies
- Two modes of gas flow in a single barred galaxy
- Bars do drive spiral density waves
- Gravitational bar and spiral arm torques from K_s-band observations and implications for the pattern speeds
- The gravitational torque of bars in optically unbarred and barred galaxies
- Do Bars Drive Spiral Density Waves?
- Exact General Relativistic Perfect Fluid Disks with Halos
- Rotating Relativistic Thin Disks
- The Effect of a Central Supermassive black hole on the Gas Fuelling
- Formation of Nuclear Spirals in Barred Galaxies
- SPH Simulations of Galactic Gaseous Disk with Bar: Distribution and Kinematic Structure of Molecular Clouds toward the Galactic Center
- Effect of Central Mass Concentration on the Formation of Nuclear Spirals in Barred Galaxies
- On the gravitational field of static and stationary axial symmetric bodies with multi-polar structure
- Nuclear Spirals as Signatures of Supermassive Black Holes