Stable, Self-Gravitating, Nonaxisymmetric 3D Polytropes with Nontrivial Internal Flows

Details Stable, Self-Gravitating, Nonaxisymmetric 3D Polytropes with Nontrivial Internal Flows Stable, Self-Gravitating, Nonaxisymmetric 3D Polytropes with Nontrivial Internal Flows

Dec 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998aas...193.7112c&link_type=abstract

American Astronomical Society, 193rd AAS Meeting, #71.12; Bulletin of the American Astronomical Society, Vol. 30, p.1357

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Scientific paper

We have long believed that there exist compressible analogs to the equilibrium sequences of incompressible self-gravitating Riemann ellipsoids , but in the past it has only been possible to create compressible nonaxisymmetric models with no internal motions. We have two examples of a stable nonaxisymmetric compressible, self-gravitating fluid configurations with nontrivial internal supersonic motions. Both models have been constructed via dynamical simulations that have started from initially axisymmetric, rapidly rotating (T/|W|=0.3) polytropes that were dynamically unstable toward the development of a bar-like or two-armed spiral structure. The two initial models differed mainly in their angular momentum distributions: One had an n'=0 angular momentum distribution, the other had uniform vortensity. In each case, the nonlinear development of the instability resulted in an ellipsoidal-like configuration that is spinning with a well-defined pattern speed and that has strongly differential internal motions. These final, steady-state configurations are dynamically stable. These results are relevant to self-consistent models of galaxies, rapidly spinning neutron stars, and the structure and evolution of protostellar gas clouds.

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