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06 October 2024
 
  » arxiv » astro-ph/0510107

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Why is the Zel'dovich Approximation so Accurate?
A. Yoshisato ; M. Morikawa ; N. Gouda ; H. Mouri ;
Date 5 Oct 2005
Subject astro-ph
AbstractWhy does the Zel’dovich approximation (ZA) work well for a gravitational collapse in the universe? This problem is examined by focussing the dependence on the dimensionality of the collapse. The ZA is known to be exact for a one-dimensional collapse. We show that the ZA is more accurate in the order of three-, two-, and one-dimensional collapses. Furthermore, using models for spheroidal collapse, we show that the ZA remains accurate in any collapse, which becomes progressively lower-dimensional with the passage of time. That is, the ZA is accurate because the essence of the gravitational collapse is incorporated in the ZA.
Source arXiv, astro-ph/0510107
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