Quick Search:
Author: Title/Abstract: Vol./No: Page:

Prog. Theor. Phys. Vol. 41 No. 4 (1969) pp. 1021-1040

[ Full Text PDF : FREE ACCESS (1263K) ]

Hydrodynamical Behaviour of Gas Spheres with Masses of 104 M to 1020 M

Takuya Matsuda and Humitaka Satō

Department of Physics, Kyoto University, Kyoto

(Received November 4, 1968)

Abstract:

For gas spheres with masses of 104 M ∼ 1020 M, the hydrodynamical evolution, beginning from a state where the objects have become opaque, is calculated by means of an electronic computer. The effects of general relativity is included, but energy transport is neglected. The mechanism of bounce, crush and collapse is discussed qualitatively. It is shown that gas spheres with mass greater than about 107 M cannot escape from the final collapse because of general relativistic effect, though this mass limit depends on the initial condition. Therefore, the cause of the expansion of the metagalactic system cannot be explained in terms of the bounce of a gas sphere with mass about 1020 M.


URL : http://ptp.ipap.jp/link?PTP/41/1021/
DOI : 10.1143/PTP.41.1021

[ Full Text PDF : FREE ACCESS (1263K) ] Citation:


References:

  1. C. V. L. Charlier, Ark. Mat., Astr. Fys. 16 (1921), 22.
  2. O. Klein, La structure et l'évolution de l'univers (Institut international de physique Solvay, Burxelles, 1958), p. 33.
  3. H. Alfvén, Rev. Mod. Phys. 37 (1965), 652[APS].
  4. T. Nakano, N. Ohyama and C. Hayashi, Prog. Theor. Phys. 39 (1968), 1448[PTP].
    T. Nakano, unpublished.
  5. F. Hoyle and W. Fowler, Mon. Not. R. Astron. Soc. 125 (1963), 67.
  6. W. Unno, S. Kato and Y. Osaki, Z. Astrophys. 65 (1967), 327.
  7. H. Sato, Prog. Theor. Phys. 35 (1966), 241[PTP].
  8. R. D. Richtmyer, Difference methods for Initial Value Problems (Interscience Publisher, Inc., New York, 1957).
  9. G. C. McVittie, Astrophys. J. 143 (1966), 682[CrossRef].
  10. H. Nariai, Prog. Theor. Phys. 38 (1967), 92[PTP]; ibid. 38 (1967), 740[PTP].
  11. W. B. Bonnor and M. C. Faulkes, Mon. Not. R. Astron. Soc. 137 (1967), 15.
  12. C. W. Misner and D. H. Sharp, Phys. Rev. 136 (1964), B 571[APS].
  13. M. M. May and R. N. White, Phys. Rev. 141 (1966), B 1232[APS].
    M. M. May and R. N. White, Methods in Computational Physics Vol. 7 (Academic Press, New York and London, 1967), p. 219.
  14. A. I. Voropinov, V. L. Zaguskin and M. A. Podurets, Sov. Astron.-AJ 11 (1967), 383.
  15. R. A. Schwarz, Ann. of Phys. 43 (1967), 42[CrossRef].
  16. C. Hayashi, T. Nakano, S. Narita and N. Ohyama, to be published in the Proceedings of the International Conference of Low Luminosity Stars (1968).
  17. K. Nakazawa, T. Murai, R. Hoshi and C. Hayashi, work in progress.
  18. T. Hattori, T. Nakano and C. Hayashi, unpublished.
  19. C. Hayashi and T. Nakano, Prog. Theor. Phys. 34 (1965), 754[PTP].
  20. C. Hayashi, Ann. Rev. Astron. Astrophys. 4 (1966), 171.
  21. S. Kikuchi, Publ. Astron. Soc. Jpn. 19 (1967), 501.
  22. H. A. Buchdahl, Phys. Rev. 116 (1959), 1027[APS].
  23. H. Bondi, Proc. Roy. Soc. A 282 (1964), 303.
  24. W. C. Hernandez and C. W. Misner, Astrophys. J. 143 (1960), 452[CrossRef].
  25. P. Strittmatter, J. Faulkner and M. Walmsley, Nature 212 (1966), 1441[CrossRef].
    M. J. Rees and D. W. Sciama, Nature 213 (1967), 374[CrossRef].
    M. V. Penston and G. M. Rowan Robinson, Nature 213 (1967), 375[CrossRef].
  26. R. B. Partridge and D. T. Wilkinson, Phys. Rev. Lett. 18 (1967), 557[APS].
  27. F. Hoyle, Proc. Roy. So.c A 282 (1964), 178.
  28. J. H. Hunter Jr., Mon. Not. R. Astron. Soc. 137 (1967), 271.
  29. H. Nariai and K. Tomita, Private Communication.
  30. G. Taylor, Proc. Roy. Soc. A 201 (1950), 159.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 42 No. 2 (1969) pp. 219-233 :
    Cooling of Pre-Galactic Gas Clouds by Hydrogen Molecule
    Takuya Matsuda, Humitaka Satō and Hidenori Takeda
  2. Progress of Theoretical Physics Vol. 43 No. 2 (1970) pp. 319-333 :
    Evolution of Iron Stars
    Kiyoshi Nakazawa, Tadayuki Murai, Reiun Hōshi and Chushiro Hayashi
  3. Progress of Theoretical Physics Vol. 47 No. 3 (1972) pp. 832-844 :
    Hydrodynamical Equations for a Collapsing Object with Spherical Symmetry in Terms of the Scalar-Tensor Theory of Gravity
    Hidekazu Nariai
  4. Progress of Theoretical Physics Vol. 48 No. 1 (1972) pp. 78-103 :
    Gravitational Collapse of a Rotating Star
    Kenji Tomita
  5. Progress of Theoretical Physics Vol. 49 No. 2 (1973) pp. 460-478 :
    Dynamical Contraction of Rotating Gaseous Spheroids
    Tetsuya Hara, Takuya Matsuda and Kiyoshi Nakazawa
  6. Progress of Theoretical Physics Vol. 49 No. 4 (1973) pp. 1195-1204 :
    Hydrodynamic Calculations of Spherical Gravitational Collapse in the Scalar-Tensor Theory of Gravity
    Takuya Matsuda and Hidekazu Nariai
  7. Progress of Theoretical Physics Vol. 63 No. 4 (1980) pp. 1229-1244 :
    General Relativistic Collapse of an Axially Symmetric Star. I
    Takashi Nakamura, Kei-ichi Maeda, Shoken Miyama and Misao Sasaki
  8. Progress of Theoretical Physics Vol. 65 No. 5 (1981) pp. 1613-1620 :
    On a Canonical Treatment of the Einstein Equations in an Expanding Universe
    Masahiro Kihara and Hidekazu Nariai
  9. Progress of Theoretical Physics Vol. 66 No. 6 (1981) pp. 2038-2051 :
    General Relativistic Collapse of Rotating Supermassive Stars
    Takashi Nakamura and Humitaka Sato
  10. Progress of Theoretical Physics Vol. 71 No. 5 (1984) pp. 938-945 :
    Expansion of Voids in a Matter-Dominated Universe
    Yasushi Suto, Katsuhiko Sato and Humitaka Sato
  11. Progress of Theoretical Physics Vol. 72 No. 5 (1984) pp. 978-988 :
    Effects of General Relativity on the Mass Ejection of Neutrino-Trapping Supernovae
    Mariko Takahara and Katsuhiko Sato
  12. Progress of Theoretical Physics Vol. 72 No. 6 (1984) pp. 1137-1145 :
    Nonlinear Evolution of Negative Density Perturbations in a Radiation-Dominated Universe
    Yasushi Suto, Katsuhiko Sato and Humitaka Sato
  13. Progress of Theoretical Physics Supplement No.70 (1981) pp. 202-214 :
    Numerical Relativity
    Takashi Nakamura
  14. Progress of Theoretical Physics Supplement No.90 (1987) pp. 1-218 :
    General Relativistic Collapse to Black Holes and Gravitational Waves from Black Holes
    Takashi Nakamura, Kenichi Oohara and Yasufumi Kojima