2013年3月28日
Renormalization group approach to Einstein-Rosen waves
Physical Review D - Particles, Fields, Gravitation and Cosmology
- ,
- 巻
- 87
- 号
- 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.
- ID情報
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- DOI : 10.1103/PhysRevD.87.064043
- ISSN : 1550-7998
- ISSN : 1550-2368
- SCOPUS ID : 84875727899