2002年11月
A classification of spherically symmetric kinematic self-similar perfect-fluid solutions
PROGRESS OF THEORETICAL PHYSICS
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- ,
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- 巻
- 108
- 号
- 5
- 開始ページ
- 819
- 終了ページ
- 851
- 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 classify all spherically symmetric spacetimes admitting a kinematic self-similar vector of the second, zeroth or infinite kind. We assume that the perfect fluid obeys either a polytropic equation of state or an equation of state of the form p = Kmu, where p and mu are the pressure and the energy density, respectively, and K is a constant. We study the cases in which the kinematic self-similar vector is not only "tilted" but also parallel or orthogonal to the fluid flow. We find that, in contrast to Newtonian gravity, the polytropic perfect-fluid solutions compatible with kinematic self-similarity are the Friedmann-Robertson-Walker solution and general static solutions. We find three new exact solutions, which we call the dynamical solutions (A) and (B) and the Lambda-cylinder solution.
- リンク情報
- ID情報
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- ISSN : 0033-068X
- Web of Science ID : WOS:000179823200004