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Prog. Theor. Phys. Vol. 65 No. 6 (1981) pp. 1876-1890

[ Full Text PDF : FREE ACCESS (547K) ]

General Relativistic Collapse of Axially Symmetric Stars Leading to the Formation of Rotating Black Holes

Takashi Nakamura

Research Institute for Fundamental Physics, Kyoto University, Kyoto 606

(Received November 1, 1980)

Abstract:

Numerical calculations have been made for the formation process of axisymmetric, rotating black holes of 10M⊙. The initial density of a star is about 3×1013 g/cm3. Numerical results are classified mainly by q which corresponds to |a|/M in a Kerr black hole. For q \lesssim 0.3, the effect of rotation to the gravitational collapse is only to make the shape of matter oblate. For 0.3 \lesssim q≤0.95, although the distribution of matter is disk-like, a ring-like peak of proper density appears. This ring is inside the apparent horizon, which is always formed in the case q \lesssim 0.95. For q \gtrsim 0.95, no apparent horizon is formed. The distribution of matter shows a central disk plus an expanding ring. It is found that electromagnetic-like field in the [(2+1)+1]-formalism plays an important role in a formation of a rotating black hole. Local conservation of angular momentum is checked. Accuracy of constraint equations is also shown to see the truncation error in the numerical calculations.


URL : http://ptp.ipap.jp/link?PTP/65/1876/
DOI : 10.1143/PTP.65.1876

[ Full Text PDF : FREE ACCESS (547K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 66 No. 6 (1981) pp. 2038-2051 :
    General Relativistic Collapse of Rotating Supermassive Stars
    Takashi Nakamura and Humitaka Sato
  2. 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
  3. 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
  4. Progress of Theoretical Physics Vol. 70 No. 4 (1983) pp. 1144-1147 :
    General Relativistic Collapse of Accreting Neutron Stars with Rotation
    Takashi Nakamura
  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
    Takashi Nakamura
  6. Progress of Theoretical Physics Vol. 81 No. 2 (1989) pp. 360-369 :
    Three-Dimensional Initial Data of Colliding Neutron Stars
    Ken-ichi Oohara and Takashi Nakamura
  7. Progress of Theoretical Physics Vol. 104 No. 2 (2000) pp. 325-358 :
    Axisymmetric Simulations of Rotating Stellar Collapse in Full General Relativity
    Masaru Shibata
  8. Progress of Theoretical Physics Supplement No.70 (1981) pp. 202-214 :
    Numerical Relativity
    Takashi Nakamura
  9. 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

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