Astronomy and Astrophysics – Astrophysics
Scientific paper
2005-10-05
Astrophys.J.637:555-560,2006
Astronomy and Astrophysics
Astrophysics
16 pages, to appear in The Astrophysical Journal
Scientific paper
10.1086/498496
Why does the Zel'dovich approximation (ZA) work well to describe gravitational collapse in the universe? This problem is examined by focusing on its dependence on the dimensionality of the collapse. The ZA is known to be exact for a one-dimensional collapse. We show that the ZA becomes progressively 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 all collapses, which become 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.
Gouda Naoteru
Morikawa Masahiro
Mouri Hideaki
Yoshisato Ayako
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