2009年8月
Relativistic Gravitational Collapse of a Cylindrical Shell of Dust. II - Settling Down Boundary Condition
PROGRESS OF THEORETICAL PHYSICS
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- 巻
- 122
- 号
- 2
- 開始ページ
- 521
- 終了ページ
- 541
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- 出版者・発行元
- PROGRESS THEORETICAL PHYSICS PUBLICATION OFFICE
We numerically study the dynamics of an imploding hollow cylinder composed of dust. Since there is no cylindrical black hole in 4-dimensional spacetime with physically reasonable energy conditions, a collapsed dust cylinder involves a naked singularity accompanied by its causal future, or a fatal singularity that terminates the history of the whole universe. In a previous paper, the present authors have shown that if the dust is assumed to be composed of collisionless particles Such that these particles go through the symmetry axis of the cylinder, then the scalar polynomial singularity formed on the symmetry axis is so weak that almost all the geodesics are complete, and thus effectively no singularity forms by the collapse of a hollow dust cylinder. By contrast, in this paper, we assume that all the collapsed dust settles down on the symmetry axis by changing its equation of state. Obtained solutions are the straightforward extension of Morgan's null dust Solution, in which no gravitational radiation is emitted. However, in the present case with timelike dust, an infinite amount of C-energy initially stored in the system is released through gravitational radiation. We also show that the gravitational waves asymptotically behave in a self-similar manner.
- リンク情報
- ID情報
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- ISSN : 0033-068X
- Web of Science ID : WOS:000269809300012