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Prog. Theor. Phys. Vol. 63 No. 2 (1980) pp. 425-437

[ Full Text PDF : FREE ACCESS (891K) ]

Gravitational Collapse of Charged Dust Shell and Maximal Slicing Condition

Kei-ichi Maeda

Research Institute for Fundamental Physics, Kyoto University, Kyoto 606

(Received June 27, 1979)

Abstract:

The maximal slicing condition is a good time coordinate condition qualitatively when pursuing the gravitational collapse by the numerical calculation. The analytic solution of the gravitational collapse under the maximal slicing condition is given in the case of a spherical charged dust shell and the behavior of time slices with this coordinate condition is investigated. It is concluded that under the maximal slicing condition we can pursue the gravitational collapse until the radius of the shell decreases to about 0.7×(the radius of the event horizon).


URL : http://ptp.ipap.jp/link?PTP/63/425/
DOI : 10.1143/PTP.63.425

[ Full Text PDF : FREE ACCESS (891K) ] Citation:

References:

  1. L. Smarr, A. Čadež, B. DeWitt and K. Eppley, Phys. Rev. D 14 (1976), 2443[APS].
    L. Smarr, Ann. NY Acad. Sci. 302 (1977), 569.
  2. J. R. Wilson, in Sources of Gravitational Radiation, ed. by L. Smarr (Cambridge Univ. Press, London, 1979), p. 423.
  3. T. Nakamura, K. Maeda, S. Miyama and M. Sasaki, Prog. Theor. Phys. 63 (1980), 1229[PTP].
  4. F. Estabrook, H. Wahlquist, S. Christensen, B. DeWitt, L. Smarr and E. Tsiang, Phys. Rev. D 7 (1973), 2814[APS].
  5. R. Arnowitt, S. Deser and C. W. Misner, in Gravitation: An Introduction to Current Research, edited by L. Witten (Wiley, New York, 1962), p. 227.
    C. W. Misner, K. S. Thorne and J. A. Wheeler, Gravitation (Freenan, San Francisco, 1973), p. 505.
  6. W. Israel, Phys. Rev. 153 (1967), 1388[APS].
    V. de la Cruz and W. Israel, Nuovo Cim. A 51 (1967), 744.
  7. M. Duncan, report, University of Texas (1977) (unpublished).
  8. B. L. Reinhart, J. Math. Phys. 14 (1973), 719[CrossRef].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 65 No. 3 (1981) pp. 894-909 :
    Time Evolution of Pure Gravitational Waves
    Shoken M. Miyama
  2. Progress of Theoretical Physics Vol. 68 No. 6 (1982) pp. 1967-1978 :
    Topology of Collapse in Conformal Diagrams
    F. de Felice and Kei-ichi Maeda

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