論文

査読有り
2001年11月7日

Stability criterion for self-similar solutions with perfect fluids in general relativity

Classical and Quantum Gravity
  • Tomohiro Harada

18
21
開始ページ
4549
終了ページ
4567
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1088/0264-9381/18/21/311
出版者・発行元
IOP PUBLISHING LTD

A stability criterion is derived for self-similar solutions with perfect fluids which obey the equation of state P = kp in general relativity. A wide class of self-similar solutions turn out to be unstable against the so-called kink mode. The criterion is directly related to the classification of sonic points. The criterion gives a sufficient condition for instability of the solution. For a transonic point in collapse, all primary-direction nodal-point solutions are unstable, while all secondary-direction nodal-point solutions and saddle-point ones are stable against the kink mode. The situation is reversed in expansion. The applications are the following: the expanding flat Friedmann solution for 1/3 ≤ k &lt
1 and the collapsing one for 0 &lt
k ≤ 1/3 are unstable
the static self-similar solution is unstable
nonanalytic self-similar collapse solutions are unstable
the Larson-Penston (attractor) solution is stable for this mode for 0 &lt
k ≲ 0.036, while it is unstable for 0.036 ≲ k
the Evans-Coleman (critical) solution is stable for this mode for 0 &lt
k ≲ 0.89, while it is unstable for 0.89 ≲ k. The last application suggests that the Evans-Coleman solution for 0.89 ≲ k is not critical because it has at least two unstable modes.


リンク情報
DOI
https://doi.org/10.1088/0264-9381/18/21/311
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000172474000012&DestApp=WOS_CPL
ID情報
  • DOI : 10.1088/0264-9381/18/21/311
  • ISSN : 0264-9381
  • eISSN : 1361-6382
  • SCOPUS ID : 0035540101
  • Web of Science ID : WOS:000172474000012

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