HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 63 (1980) > Number 2
| Next Article >

Prog. Theor. Phys. Vol. 63 No. 2 (1980) pp. 719-721

[ Full Text PDF : FREE ACCESS (241K) ]

Letters

A New Formalism of the Einstein Equations for Relativistic Rotating Systems

Kei-ichi Maeda, Misao Sasaki,* Takashi Nakamura* and Shōken Miyama

Research Institute for Fundamental Physics, Kyoto University, Kyoto 606
*Department of Physics, Kyoto University, Kyoto 606

(Received October 24, 1979)

Abstract:

Combining Geroch's and the ADM formalisms, we give a new formalism for treating the dynamical problems of space-time having a rotational Killing vector. We have found that the basic equations for a rotating system strongly resemble the Einstein and the Maxwell equations for a non-rotating system.


URL : http://ptp.ipap.jp/link?PTP/63/719/
DOI : 10.1143/PTP.63.719

[ Full Text PDF : FREE ACCESS (241K) ] Citation:

References:

  1. T. Nakamura, K. Maeda, S. Miyama and M. Sasaki, Prog. Theor. Phys. 63 (1980), 1229[PTP].
  2. L. Smarr, Ann. N. Y. Acad. Sci. 302 (1977), 569.
    J. Wilson, in Sources of Gravitational Radiation, ed. by L. Smarr (Cambridge Univ. Press, London, 1979), p. 423.
    T. Piran, Phys. Rev. Lett. 41 (1978), 1085[APS].
  3. T. Nakamura, K. Maeda, S. Miyama and M. Sasaki, in the Proceedings of the Second Marcel Grossmann Meeting (1980).
  4. R. Geroch, J. Math. Phys. 12 (1971), 918[CrossRef].
  5. R. Arnowitt, S. Deser and C. W. Misner, in Gravitation; An Introduction to Current Research, ed. L. Witten (Wiley, New York, 1962), p. 227.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 63 No. 3 (1980) pp. 1051-1053 :
    A Method of Determining Apparent Horizons in [(2+1)+1]-Formalism of the Einstein Equations
    Misao Sasaki, Kei-ichi Maeda, Shōken Miyama and Takashi Nakamura
  2. Progress of Theoretical Physics Vol. 65 No. 6 (1981) pp. 1876-1890 :
    General Relativistic Collapse of Axially Symmetric Stars Leading to the Formation of Rotating Black Holes
    Takashi Nakamura
  3. Progress of Theoretical Physics Vol. 66 No. 6 (1981) pp. 2038-2051 :
    General Relativistic Collapse of Rotating Supermassive Stars
    Takashi Nakamura and Humitaka Sato
  4. 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
  5. 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
  6. Progress of Theoretical Physics Vol. 71 No. 1 (1984) pp. 79-90 :
    Gravitational Radiation from a Particle with Orbital Angular Momentum Plunging into a Kerr Black Hole
    Yasufumi Kojima 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
  10. Progress of Theoretical Physics Supplement No.189 (2011) pp. 269-310 :
    Chapter 9. Higher-Dimensional Numerical Relativity: Current Status
    Hirotaka Yoshino and Masaru Shibata

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.