The equilibrium and stability of inhomogeneous Riemann ellipsoids with anisotropic pressure
Abstract
Extending the tensor virial equations analysis the authors obtain new equilibrium solutions for inhomogeneous Riemann ellipsoids. It is shown that, taking into account anisotropic velocity dispersion and a confocal ellipsoidal density distribution, it is possible to find stable ellipsoidal figures of equilibrium, for which the existence of a massive galactic halo as a means of stabilizing the structure against barlike modes of oscillation is not required. At the same time the amount of velocity dispersion necessary in the model is not far from that actually observed in our galaxy. These results, obtained for specific values of the angular velocity, the vorticity and the axial ratios, naturally lead to triaxial galaxy configurations.
 Publication:

Astronomy and Astrophysics
 Pub Date:
 June 1986
 Bibcode:
 1986A&A...161...39P
 Keywords:

 Elliptical Galaxies;
 Galactic Evolution;
 Galactic Structure;
 Milky Way Galaxy;
 Riemann Manifold;
 Angular Velocity;
 Ellipsoids;
 Equilibrium Equations;
 Galactic Rotation;
 Pressure Distribution;
 Vorticity;
 Astrophysics