論文

2009年

Singularities and self-similarity in gravitational collapse

NONCOMMUTATIVITY AND SINGULARITIES: PROCEEDINGS OF FRENCH-JAPANESE SYMPOSIA HELD AT IHES IN 2006
  • Tomohiro Harada

55
開始ページ
15
終了ページ
30
記述言語
英語
掲載種別
研究論文(国際会議プロシーディングス)
出版者・発行元
MATH SOC JAPAN

Einstein's field equations in general relativity admit a variety of solutions with spacetime singularities. Numerical relativity has recently revealed the properties of somewhat generic spacetime singularities. It has been found that in a variety of systems self-similar solutions can describe asymptotic or intermediate behaviour of more general solutions in an approach to singularities. The typical example is the convergence to an attractor self-similar solution in gravitational collapse. This is closely related to the cosmic censorship violation in the spherically symmetric collapse of a perfect fluid. The self-similar solution also plays an important role in critical phenomena in gravitational collapse. The critical phenomena are understood as the intermediate behaviour around a critical self-similar solution. We see that the convergence and critical phenomena are understood in a unified manner in terms of attractors of codimension zero and one, respectively, in renormalisation group flow.


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Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000281845600002&DestApp=WOS_CPL
ID情報
  • Web of Science ID : WOS:000281845600002

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