2001/09/27 by Takayuki Tatekawa, Momoko Suda, Tatekawa, Takayuki +6 · 3 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #Statistical Mechanics and Entropy #astro-ph #gr-qc
paper · pdf · doi:10.48550/arxiv.astro-ph/0109501
19 pages, 5 figures
arxiv created 2001/09/27 · arxiv updated 2009/11/30
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.