Simulations of axisymmetric, Newtonian star clusters - Prelude to 2 + 1 general relativistic computations

Statistics – Computation

Scientific paper

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Collisionless Plasmas, Newton Theory, Relativity, Star Clusters, Star Distribution, Stellar Models, Black Holes (Astronomy), Computational Astrophysics, Globular Clusters, Gravitational Collapse, Gravitational Waves, Stellar Motions

Scientific paper

The authors have previously analyzed the dynamical behavior of spherical clusters in general relativity. They now treat nonspherical systems and allow for rotation and the emission of gravitational waves. The authors construct in this paper an axisymmetric code for solving the Vlasov equation in the Newtonian limit. The code is based on a mean-field particle simulation scheme, suitable for extension to general relativity. The code is tested by reproducing the known evolution of homogeneous spheroids with and without rotation, including the Lin-Mestel-Shu instability. The code is accurate, even when tracking collapse to a singularity. The authors apply the code to investigate the dynamical stability of equilibrium Freeman spheroids. They compare the gravitational collapse of cold, nonrotating, homogeneous spheroids with the collapse of inhomogeneous spheroids.

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