Influence of MRI on the Jeans Instability of an Axisymmetric Nebula.
We analyze how the Megneto-Rotational Instability affects the gravitational collapse, ie its influence on the value of the Jeans length. In particular, we study an axisymmetric non stratified differentially rotating cloud, embedded in a small magnetic field, and we perform a local linear stability analysis, including the self gravity of the system. We demonstrate that the linear evolution of the perturbations is characterized by the emergence of an anisotropy degree of the perturbed mass densities. Starting with spherical growing overdensities, we see that they naturally acquire an anisotropy of order unity in its shape. Despite the linear character of our analysis, we infer that such a seed of anisotropy can rapidly growths in a non linear regime, leading to the formation of filament-like structures in the Universe large scales.
Publisher URL: http://arxiv.org/abs/1711.03010
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