Astronomy and Astrophysics – Astrophysics
Scientific paper
2001-09-27
Astronomy and Astrophysics
Astrophysics
19 pages, 5 figures
Scientific paper
We study an effect of inhomogeneity of density distribution of the Universe. We propose a new Lagrangian perturbation theory with a backreaction effect by inhomogeneity. The inhomogeneity affects the expansion rate in a local domain and its own growing rate. We numerically analyze a one-dimensional plane-symmetric model, and calculate the probability distribution functions (PDFs) of several observed variables to discuss those statistical properties. We find that the PDF of pairwise peculiar velocity shows an effective difference from the conventional Lagrangian approach, i.e. even in one-dimensional plane symmetric case, the PDF approaches an exponential form in a small relative-velocity region, which agree with the N-body simulation.
KUBOTANI Hiroto
Maeda Kei--ichi
Suda Momoko
Tatekawa Takayuki
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