A Classification of Spherically Symmetric Kinematic Self-Similar Perfect-Fluid Solutions
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概要
- 論文の詳細を見る
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 = Kμ, where p and μ 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 A-cylinder solution.
- 理論物理学刊行会の論文
- 2002-11-25
著者
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Harada Tomohiro
Department of Cardiovascular Medicine, University of Tokyo
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Harada Tomohiro
Department Of Cardiovascular Medicine Graduate School Of Medicine University Of Tokyo
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原田 融
Sapporo Gakuin Univ. Ebetsu Jpn
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Harada T
Department Of Physics Waseda University
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IGUCHI Hideo
Department of Physics, Tokyo Institute of Technology
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原田 融
札幌学院大
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OKUYAMA Naoya
Department of Physics, Waseda University
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MAEDA Hideki
Department of Physics, Waseda University
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Igughi Hideo
Department Of Physics Tokyo Institute Of Technology
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Maeda H
Advanced Research Institute For Science And Engineering Waseda University
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Okuyama Naoya
Department Of Physics Waseda University
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Harada Tomohiro
Department Of Applied Analysis And Complex Dynamical Systems Graduate School Of Informatics Kyoto Un
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IGUCHI Hideo
Department of Physics, Kyoto University
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HARADA Toru
Department of Social Information, Sapporo Gakuin University:Institute of Socio-Information and Communication Studies (ISICS) University of Tokyo
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