Abstract
The self-gravitating instability of an infinitely extending axisymmetric cylinder of viscoelastic medium permeated with non uniform magnetic field and rotation is studied for both the strongly coupled plasma (SCP) and weakly coupled plasma (WCP). The non uniform magnetic field and rotation are considered to act along the axial direction of the cylinder. The normal mode method of perturbations is applied to obtain the dispersion relation. The condition for the onset of gravitational instability has been derived from the dispersion relation under both strongly and weakly coupling limits. It is found that the Jeans criterion for gravitational collapse gets modified due to the presence of shear and bulk viscosities for the SCP, however, the magnetic field and rotation whether uniform or non uniform has no effect on the Jeans criterion of an infinitely extending axisymmetric cylinder of a self-gravitating viscoelastic medium.
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References
Anand, S. P. S, Kushwaha, R. S. 1962, Proc. Phys. Soc., 79, 1089.
Argal, S., Tiwari, A., Sharma, P. K. 2014, A Letters Journal Exploring The Frontiers of Physics, EPL, 108, 35003.
Bel, N., Schatzman, E. 1958, Rev. Mod. Phys., 30, 1015.
Chandrasekhar, S. 1961, Hydrodynamic and hydromagnetic stability, Oxford University Press, Oxford.
Devanathan, C. 1962, Annales d’Astrophysique, 25, 400.
Dhiman, J. S., Dadwal, R. 2010, Astrophys. Space Sci., 325 (2), 195.
Dhiman, J. S., Dadwal, R. 2011, Astrophys. Space Sci., 332, 373.
Dhiman, J. S., Sharma, R. 2014a, Int. J. Tech., 4 (1), 7.
Dhiman, J. S., Sharma, R. 2014b, Phys. Scr., 89, 125001.
Dibai, E. A. 1958, SvA, 2, 226.
Hasan, A. A., Abdelkhalek, R.A. 2013, Boundary Value Problems, 2013, 48.
Hayward, S. A. 2000, Class. Quantum Grav., 17, 1749.
Hunter, J. H. Jr., Whitaker, R. W., Lovelace, R. V. E. 1997, The Astrophysical Journal, 482, 852.
Hunter, J. H. Jr., Whitaker, R. W., Lovelace, R. V. E. 1998, The Astrophysical Journal, 508, 680.
Ikeji, H. 1986, Phys. Fluids, 29 (6), 1764.
Janaki, M. S., Chakrabarti, N. 2010, Phys. Plasmas, 17, 053704.
Janaki, M. S., Chakrabarti, N., Benerjee, D. 2011, J. Phys. Plasmas, 18, 012901.
Jeans, J. H. 1902, Philos. Trans. R. Soc. Lond., 199, 1.
Kaw, P. K., Sen, A. 1998, Phys. Plasmas, 5, 3552.
Kaw, K. K., Nishikawa, K., Sato, N. 2002, Phys. Plasmas, 9 (2), 387.
Konopka, U., Samsonov, D., Iviev, A. V., Goree, V., Steinberg, V., Morfill, G. E. 2000, Phys. Rev. E., 61, 1890.
Nagasawa, M. 1987, Prog. Theor. Phys., 77 (3), 635.
Nakao, K., Harada, T., Kurita, Y. Morisawa, Y. 2009, Prog.Theor. Phys., 122, 52.
Prajapati, R. P., Chhajlani, R. K., 2013, Astrophys. Space Sci., 344, 371.
Prajapati, R. P., Sharma, P. K., Sanghvi, R. K. Chhajlani, R. K. 2012, Physics. J. Conference Series, 365.
Radwan, A. E. Hasan, A. A. 2009, Appl. Math. Model., 33 (4), 2121.
Rosenberg, M. Shukla, P. K. 2011, Phys. Scr., 83, 015503.
Sato, N., Uchida, G., Kamimura, T. Lizuka, S. 1998, Physics of Dusty plasmas, edited by M. Horanyi et al. (American Institute of Physics, New York), 239.
Sato, N., Uchida, G., Kamimura, T., Uchida, G. Lizuka, S. 2000, Frontiers in Dusty Plasmas, edited by Y. Nakamura et al. (Elsevier Science, New York), 329.
Sato, N., Uchida, G., Kaneko, T., Shimizu, S. Lizuka, S. 2001, Phys. Plasmas, 8, 1786.
Sharif, M. Abbas, G. 2011, J. Phys. Soc. Jpn., 80, 104002.
Sharif, M. Ahmad, Z. 2007, Gen. Relativ. Gravit., 39, 1331.
Shore, S. N. 1992, An Introduction to Astrophysical Hydrodynamics, Academic Press , New York.
Simon, R. 1962, Annales d’Astrophysique, 25, 405.
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Dhiman, J.S., Sharma, R. Gravitational Instability of Cylindrical Viscoelastic Medium Permeated with Non Uniform Magnetic Field and Rotation. J Astrophys Astron 37, 5 (2016). https://doi.org/10.1007/s12036-016-9371-3
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DOI: https://doi.org/10.1007/s12036-016-9371-3