論文

査読有り
2009年

High-speed collapse of a hollow sphere of type i matter

Classical and Quantum Gravity
  • Zahid Ahmad
  • ,
  • Tomohiro Harada
  • ,
  • Ken-Ichi Nakao
  • ,
  • M. Sharif

26
3
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1088/0264-9381/26/3/035007

In this paper, we study the dynamics of a hollow spherical matter collapsing with a very large initial velocity. The spacetime is initially very similar to the Vaidya solution, and the deviations from this background are treated perturbatively. The equations of state for radial pressure pR = kρ and tangential one pT = wρ with constants k and w are assumed. We find for the case of equations of state k &lt
1 and 0 &lt
w ≤ 1 that the initial velocity, which is nearly the speed of light, is strongly decelerated. This result implies that the pressure is essential to the property of singularity formation in gravitational collapse even for initially nearly light-speed collapse. By contrast, in cases with the negative tangential pressure, the present result implies that the central naked singularity similar to that of the Vaidya spacetime can be formed, even though the radial pressure is positive, and the weak, strong and dominant energy conditions hold. Especially, in the case of w &lt
-(1 - k)/4, the high-speed collapse will produce the spacetime structure very similar to that of the Vaidya spacetime. © 2009 IOP Publishing Ltd.

リンク情報
DOI
https://doi.org/10.1088/0264-9381/26/3/035007
ID情報
  • DOI : 10.1088/0264-9381/26/3/035007
  • ISSN : 0264-9381
  • ISSN : 1361-6382
  • SCOPUS ID : 68949100600

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