論文

査読有り
2001年

Convergence to a self-similar solution in general relativistic gravitational collapse

Physical Review D
  • Tomohiro Harada
  • ,
  • Hideki Maeda

63
8
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1103/PhysRevD.63.084022

We study the spherical collapse of a perfect fluid with an equation of state P = kp by full general relativistic numerical simulations. For 0&lt
Jt:£0.036, it has been known that there exists a general relativistic counterpart of the Larson-Penston self-similar Newtonian solution. The numerical simulations strongly suggest that, in the neighborhood of the center, generic collapse converges to this solution in an approach to a singularity and that self-similar solutions other than this solution, including a "critical solution" in the black hole critical behavior, are relevant only when the parameters which parametrize initial data are fine-tuned. This result is supported by a mode analysis on the pertinent self-similar solutions. Since a naked singularity forms in the general relativistic Larson-Penston solution for 0&lt
£:£0.0105, this will be the most serious known counterexample against cosmic censorship. It also provides strong evidence for the self-similarity hypothesis in general relativistic gravitational collapse. The direct consequence is that critical phenomena will be observed in the collapse of isothermal gas in Newton gravity, and the critical exponent y will be given by 7= 0.11, though the order parameter cannot be the black hole mass. ©2001 The American Physical Society.

リンク情報
DOI
https://doi.org/10.1103/PhysRevD.63.084022
ID情報
  • DOI : 10.1103/PhysRevD.63.084022
  • ISSN : 0556-2821
  • SCOPUS ID : 0034891973

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