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Prog. Theor. Phys. Vol. 66 No. 6 (1981) pp. 2038-2051

[ Full Text PDF : FREE ACCESS (611K) ]

General Relativistic Collapse of Rotating Supermassive Stars

Takashi Nakamura and Humitaka Sato

Research Institute for Fundamental Physics, Kyoto University, Kyoto 606

(Received May 25, 1981)

Abstract:

Numerical calculations have been done for the formation process of axisymmetric, rotating supermassive black holes. Polytropic distribution with N = 3 is used as the initial density distribution. Calculated models are characterized by the total angular momentum (J) and the rotation law. The two types of the initial law are examined. As the effect of rotation is the strongest at the center for the differential rotation law case, the matter distribution becomes disk-like. In this case, if q = (J/M2) \lesssim0.92 an apparent horizon is formed. If q \gtrsim0.92, the disk-like matter expands toward the lateral direction. For the almost rigidly rotating case, the oblate shape core is always formed because the effect of rotation at the center is not so strong as the former case. In this case if q \lesssim1.05 an apparent horizon is formed. For large q, for example q = 1.46, the central core bounces and a jet which expands mainly along the rotational axis appears. For the collapse of 109M⊙ star, the kinetic energy of the jet becomes 3.6 ×1060 ergs, which is comparable to the total energy stored in the radio lobes of the extragalactic double radio gources.


URL : http://ptp.ipap.jp/link?PTP/66/2038/
DOI : 10.1143/PTP.66.2038

[ Full Text PDF : FREE ACCESS (611K) ] Citation:

References:

  1. J. H. Lacy, F. Baas, C. H. Townes and T. R. Geballe, Astrophys. J. 227 (1979), L17[CrossRef].
  2. P. J. Young, J. A. Westphal, J. Kristian, C. P. Wilson and F. P. Landauer, Astrophys. J. 221 (1978), 721[CrossRef].
  3. P. J. Young, W. L. W. Sargent, J. Kristian and J. A. Westphal, Astrophys. J. 234 (1979), 76[CrossRef].
  4. D. Lynden-Bell, Nature 223 (1969), 690[CrossRef].
  5. For example;
    J. E. Pringle, M. J. Rees and A. G. Pacholczyk, Astron. and Astrophys. 29 (1973), 179.
    D. Lynden-Bell and M. J. Rees, Mon. Not. R. Astron. Soc. 152 (1971), 461.
    F. Takahara, Prog. Theor. Phys. 60 (1978), 1606[PTP]; ibid. 62 (1979), 629[PTP].
    F. Takahara, S. Tsuruta and S. Ichimaru, submitted to Astrophys, J.
  6. L. Spitzer and W. C. Saslaw, Astrophys. J. 143 (1966), 400[CrossRef].
    L. Spitzer and M. E. Stone, Astrophys. J. 147 (1967), 519.
  7. M. C. Begelman and M. J. Rees, Mon. Not. R. Astron. Soc. 185 (1978), 847.
  8. F. Hoyle and W. A. Fowler, Mon. Not. R. Astron. Soc. 125 (1963), 169; Nature 197 (1963), 533[CrossRef].
  9. W. A. Fowler, “High-Energy Astrophysics”, Proc. Course 35 Intern. Sch. Phys. “Enrico Fermi”, ed. L. Gratton (Academic Press, New York, 1966), p. 313.
  10. L. M. Ozernoi and V. W. Usov, Ap. and Space Sci. 25 (1973), 531.
  11. P. Morrison, Astrophys. J. 157 (1969), L73[CrossRef].
  12. T. Matsuda and H. Sato, Prog. Theor. Phys. 41 (1969), 1021[PTP].
  13. J. Wilson, Varenna Lectures of 1975.
  14. K. J. Fricke, Astrophys. J. 189 (1974), 535[CrossRef].
  15. T. Nakamura, K. Maeda, S. Miyama and M. Sasaki, Prog. Theor. Phys. 63 (1980), 1229[PTP].
    K. Maeda, M. Sasaki, T. Nakamura and S. Miyama, Prog. Theor. Phys. 63 (1980), 719[PTP].
  16. T. Nakamura, Prog. Theor. Phys. 65 (1981), 1876, [PTP](Paper I).
  17. T. Nakamura, in preparation.
  18. N. O'Murchadha and J. W. York, J. Math. Phys. 14 (1973), 1551[CrossRef].
  19. M. Sasaki, K. Maeda, S. Miyama and T. Nakamura, Prog. Tehor. Phys. 63 (1980), 1051.
  20. R. P. Kerr, Phys. Rev. Lett. 11 (1963), 237[APS].
    B. Carter, Phys. Rev. 174 (1968), 1559[APS].
  21. A. Tomimatsu and H. Sato, Prog. Theor. Phys. 50 (1973), 95[PTP]; Phys. Rev. Lett. 29 (1972), 1344[APS].
  22. M. J. Rees, Physica Scripta 17 (1978), 193.
  23. D. S. De Young, Ann. Rev. Astron. Astrophys. 14 (1976), 447.
  24. R. H. Sanders, Astrophys. J. 205 (1976), 335[CrossRef].
    K. Morita, submitted to Ap. and Space Sci.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 67 No. 5 (1982) pp. 1396-1405 :
    General Relativistic Collapse of Non-Rotating, Axisymmetric Stars
    Takashi Nakamura and Humitaka Sato
  2. Progress of Theoretical Physics Vol. 68 No. 2 (1982) pp. 567-579 :
    General Relativistic Gravitational Collapse of Rotating Star with Magnetic Fields
    Kei-ichi Maeda and Ken-ichi Oohara
  3. Progress of Theoretical Physics Vol. 70 No. 3 (1983) pp. 757-771 :
    Energy, Momentum and Angular Momentum of Gravitational Waves Induced by a Particle Plunging into a Schwarzschild Black Hole
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  4. Progress of Theoretical Physics Vol. 70 No. 4 (1983) pp. 1144-1147 :
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  5. Progress of Theoretical Physics Vol. 72 No. 4 (1984) pp. 746-760 :
    General Solutions to the Linearized Einstein Equations and Initial Data for Three Dimensional Time Evolution of Pure Gravitational Waves
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  6. Progress of Theoretical Physics Vol. 79 No. 2 (1988) pp. 416-428 :
    Energy Spectrum of Ultra High Energy γ-Rays from Supernova
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  7. Progress of Theoretical Physics Vol. 81 No. 5 (1989) pp. 1006-1020 :
    Binary Sub-Millisecond Pulsar and Rotating Core Collapse Model for SN1987A
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  8. Progress of Theoretical Physics Vol. 100 No. 5 (1998) pp. 921-929 :
    A Model for Non High Energy Gamma Ray Bursts and Sources of Ultra High Energy Cosmic Rays
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  9. Progress of Theoretical Physics Supplement No.70 (1981) pp. 202-214 :
    Numerical Relativity
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  10. 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
  11. Progress of Theoretical Physics Supplement No.143 (2001) pp. 50-77 :
    Jets and Central Engine of GRBs
    Takashi Nakamura

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