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Gravitational collapse of gas clouds with spherical, cylindrical or plane symmetry in the linear wave flow approximation

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Abstract

The equations of gas dynamics are solved, quasi-analytically by applying McVittie's method for spherical, cylindrical and plane configurations. The hypothesis of linear wave flow is applied and it is assumed that the final state of collapsing clouds is a hydrostatic equilibrium state, determined by complete polytropes. Complete analytical solutions are found when the generalized (to the three symmetries) Emden equation admits of analytical solutions. Otherwise the solutions are left in terms of the numerical solutions of the Emden equation. Numerical solutions to the Emden equation in the plane case are found and tabulated. A strong dependence of amplification, of density, pressure and temperature of the gas, on the symmetry is found. In addition, it is conclude that the flow remains subsonic, during the collapse, except toward the boundaries of the collapsing clouds.

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References

  • Clayton, D. D.: 1978, in T. Gehrels (ed.),Protostars and Planets, University of Arizona Press, Tucson, p. 13.

    Google Scholar 

  • Chandrasekhar, S.: 1939,An Introduction to the Study of Stellar Structure, University of Chicago Press, Chicago, p. 84.

    Google Scholar 

  • Disney, M., McNally, D., and Wright, A.: 1969,Monthly Notices Roy. Astron. Soc. 146, 123.

    Google Scholar 

  • Elmegren, B. and Lada, C.: 1976,Astrophys. J. 214, 725.

    Google Scholar 

  • Larson, R. B.: 1977, in T. de Jong and A. Maeder (eds.), ‘Star Formation’,IAU Symp. 75, 249.

  • Larson, R. B.: 1978, in T. Gehrels (ed.),Protostars and Planets, University of Arizona, Tucson, p. 43.

    Google Scholar 

  • McNally, D.: 1975,Astrophys. J. 140, 1088.

    Google Scholar 

  • McVittie, G. C.: 1956,Astron. J. 61, 451.

    Google Scholar 

  • Ostriker, J.: 1965a,Astrophys. J. 140, 1056.

    Google Scholar 

  • Ostriker, J.: 1965b,Suppl. Ser. Astrophys. J. 11, 167.

    Google Scholar 

  • Roberts, W. W.: 1969,Astrophys. J. 121, 161.

    Google Scholar 

  • Sigalotti, L.: 1982, Thesis, Universidad de Los Andes.

  • Sunyaev, R. A. and Zel'dovich, Ya. B.: 1972,Astron. Astrophys. 20, 189.

    Google Scholar 

  • Tohline, J. E.: 1978, Ph.D. Thesis, University of California.

  • Tohline, J. E.: 1979, private communication.

  • Wright, A. E.: 1970,Monthly Notices Roy. Astron. Soc. 148, 455.

    Google Scholar 

  • Zel'dovich, Ya. B.: 1970,Astron. Astrophys. 5, 84.

    Google Scholar 

  • Zel'dovich, Ya. B., Einasto, J., and Shandarin, S. F.: 1982,Nature 300, 407.

    Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Physics, Faculty of Science, Universidad de Los Andes, Mérida, Venezuela

    M. H. Ibañez S & L. Di G. Sigalotti

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  1. M. H. Ibañez S
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  2. L. Di G. Sigalotti
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Ibañez S, M.H., Sigalotti, L.D.G. Gravitational collapse of gas clouds with spherical, cylindrical or plane symmetry in the linear wave flow approximation. Astrophys Space Sci 95, 145–162 (1983). https://doi.org/10.1007/BF00661166

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  • DOI: https://doi.org/10.1007/BF00661166

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