Primordial fractal density perturbations and structure formation in the universe: One-dimensional collisionless sheet model

Takayuki Tatekawa*, Kei Ichi Maeda

*この研究の対応する著者

研究成果: Article査読

19 被引用数 (Scopus)

抄録

The two-point correlation function of galaxy distribution shows that structure in the present universe is scale-free up to a certain scale (at least several tens of Mpc), which suggests that a fractal structure may exist. If small primordial density fluctuations have a fractal structure, the present fractal-like nonlinear structure below the horizon scale could be naturally explained. We analyze the time evolution of fractal density perturbations in an Einstein-de Sitter universe, and study how the perturbation evolves and what kind of nonlinear structure will result. We assume a one-dimensional collisionless sheet model with initial Cantor-type fractal perturbations. The nonlinear structure seems to approach some attractor with a unique fractal dimension, which is independent of the fractal dimensions of initial perturbations. A discrete self-similarity in the phase space is also found when the universal nonlinear fractal structure is reached.

本文言語English
ページ(範囲)531-544
ページ数14
ジャーナルAstrophysical Journal
547
2 PART 1
DOI
出版ステータスPublished - 2001 2月 1

ASJC Scopus subject areas

  • 天文学と天体物理学
  • 宇宙惑星科学

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