論文

査読有り
2013年3月28日

Renormalization group approach to Einstein-Rosen waves

Physical Review D - Particles, Fields, Gravitation and Cosmology
  • Tomohiro Harada
  • ,
  • Sanjay Jhingan

87
6
開始ページ
064043
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.87.064043

We present a renormalization group analysis to Einstein-Rosen waves or vacuum spacetimes with whole-cylinder symmetry. It is found that self-similar solutions appear as fixed points in the renormalization group transformation. These solutions correspond to the explosive gravitational waves and the collapsing gravitational waves at late times and early times, respectively. Based on the linear perturbation analysis of the self-similar solutions, we conclude that the self-similar evolution is stable as explosive gravitational waves under the condition of no incoming waves, while it is weakly unstable as collapsing gravitational waves. The result implies that self-similar solutions can describe the asymptotic behavior of more general solutions for exploding gravitational waves and thus extends the similarity hypothesis in general relativity from spherical symmetry to cylindrical symmetry. © 2013 American Physical Society.

リンク情報
DOI
https://doi.org/10.1103/PhysRevD.87.064043
ID情報
  • DOI : 10.1103/PhysRevD.87.064043
  • ISSN : 1550-7998
  • ISSN : 1550-2368
  • SCOPUS ID : 84875727899

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