The stabilizing and destabilizing effects of haloes

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Compressed Gas, Dynamic Stability, Halos, Maclaurin Series, Rotating Fluids, Stellar Atmospheres, Cosmic Gases, Eigenvalues, Kelvin-Helmholtz Instability, Milky Way Galaxy, Stellar Oscillations, Stellar Rotation, Stellar Structure, Vibration Mode

Scientific paper

The equilibrium and the stability of homogeneous gaseous and uniformly rotating Maclaurin spheroids imbedded in a rigid homogeneous and spherical stellar halo are considered. A new analytical method has been devised that allows a simultaneous determination of the eigenvalues and the corresponding displacement vectors. Explicitly, the modes of oscillations stemming from the fundamental radial mode of the homogeneous compressible sphere and its nonradial 'f' (or Kelvin) modes belonging to the second and third spherical harmonics together with the first 'pressure' and 'gravity' modes p1 and g1 belonging to the first spherical harmonics were obtained. It has been assumed that the oscillations are adiabatic and several sequences of spheroids corresponding to various values of the halo mass have been examined. The Kelvin modes behave very much as in the incompressible case. But the study of the gravity modes leads to a quite surprising result: a stellar halo does not always exert a stabilizing effect on dynamical instability.

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