: Astrophysics and Relativity
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概要
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We have examined the non-linear growth of density fluctuations in a one-dimensional self-gravitating system in the expanding universe. We found that the Fourier spectrum of the density fluctuation obeyed a power law for small-scales when the singularities of the density appeared. The power index of the Fourier spectrum is almost independent of initial conditions and is determined by the type of the singularity of the density. There appear A2 and A3 types in a one-demensional system. The type of singularity in density is categorized in accord with the classification in the catastrophe theory. According to this classification, there is only one type (A2) in one-dimensional system. In fact the A3 type appears only in an instant, which corresponds to structural instability in the catastrophe theory.
- 理論物理学刊行会の論文
- 1989-03-25
著者
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NAKAMURA Takashi
National Institute of Radiological Sciences
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GOUDA Naoteru
Department of Earth and Space Science, Graduate School of Science Osaka University
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Gouda Naoteru
Department Of Earth And Space Science Faculty Of Science Osaka University
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