On Multipolar Analytical Potentials for Galaxies

Abstract

We present analytical potential-density pairs in three dimensions for the gravitational field of galaxies, obtained by thickening the multipolar expansion up to the quadrupole term. These may be interpreted as generalizations of the Miyamoto and Nagai potential-density pairs. With a suitable restriction on the possible values of the multipole moments, the density distributions are positive and monotone decreasing functions of the radial and axial coordinates.

References in corpus (4)

• Exact General Relativistic Perfect Fluid Disks with Halos
• Relativistic Models of Galaxies
• Exact General Relativistic Thick Disks
• New Models of General Relativistic Static Thick Disks

Cited by in corpus (5)

• Exact density-potential pairs from complex shifted axisymmetric systems
• Determining the nature of orbits in disk galaxies with non spherical nuclei
• Unveiling the Influence of Dark Matter in Axially Symmetric Galaxies
• Orbital dynamics in galactic potentials under mass transfer
• Orbital dynamics in realistic galaxy models: NGC 3726, NGC 3877 and NGC 4010