論文

査読有り
2001年

Critical phenomena in Newtonian gravity

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

64
12
開始ページ
7
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.64.124024

We investigate the stability of self-similar solutions for a gravitationally collapsing isothermal sphere in Newtonian gravity by means of a normal mode analysis. It is found that the Hunter series of solutions are highly unstable, while neither the Larson-Penston solution nor the homogeneous collapse solution has an analytic unstable mode. Since the homogeneous collapse solution is known to suffer the kink instability, the present result and recent numerical simulations strongly support a proposition that the Larson-Penston solution will be realized in astrophysical situations. It is also found that the Hunter (A) solution has a single unstable mode, which implies that it is a critical solution associated with some critical phenomena which are analogous to those in general relativity. The critical exponent (Formula presented) is calculated as (Formula presented) In contrast with the general relativistic case, the order parameter will be the collapsed mass. In order to obtain a complete picture of the Newtonian critical phenomena, full numerical simulations will be needed. © 2001 The American Physical Society.

リンク情報
DOI
https://doi.org/10.1103/PhysRevD.64.124024
ID情報
  • DOI : 10.1103/PhysRevD.64.124024
  • ISSN : 1550-2368
  • ISSN : 1550-7998
  • SCOPUS ID : 85037893399

エクスポート
BibTeX RIS