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On the gravitational instability of a medium in non-uniform rotation and magnetic field

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Abstract

The effect of a non-uniform magnetic field on the gravitational instability for a non-uniformly rotating, infinitely extending axisymmetric cylinder in a homogeneous medium has been studied. The Bel and Schatzman criterion of gravitational instability for a non-uniformly rotating medium is modified under the effect of a non-uniform/uniform magnetic field acting along the tangential and axial directions. As a consequence the stabilizing and destabilizing effect of the non-uniform magnetic field is obtained, a new criterion for the magneto-gravitational instability is deduced in terms of Alfven’s wave velocity; and it is also found that the Jeans criterion determines the gravitational instability in the absence of rotation and when the non-uniform/uniform magnetic field acts along the axis of the cylinder.

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Authors and Affiliations

  1. Department of Mathematics, Himachal Pradesh University, Summer Hill, Shimla, 171005, India

    Joginder S. Dhiman & Rekha Dadwal

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  1. Joginder S. Dhiman
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  2. Rekha Dadwal
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Correspondence to Joginder S. Dhiman.

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Dhiman, J.S., Dadwal, R. On the gravitational instability of a medium in non-uniform rotation and magnetic field. Astrophys Space Sci 325, 195–200 (2010). https://doi.org/10.1007/s10509-009-0194-4

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  • DOI: https://doi.org/10.1007/s10509-009-0194-4

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