論文

査読有り
2001年

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

Physical Review D - Particles, Fields, Gravitation and Cosmology
  • Tomohiro Harada
  • ,
  • Hideki Maeda

63
8
開始ページ
14
終了ページ
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 (Formula presented) by full general relativistic numerical simulations. For (Formula presented) 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 (Formula presented) 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 (Formula presented) will be given by (Formula presented) 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 : 1550-2368
  • ISSN : 1550-7998
  • SCOPUS ID : 85038345077

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