Performance of the optimized Post-Zel'dovich approximation for CDM models in arbitrary FLRW cosmologies

Abstract

We investigate the performance of the optimized Post-Zel'dovich approximation in three cold dark matter cosmologies. We consider two flat models with ${\Omega }_0=1$ (SCDM) and with ${\Omega }_0=0.3$ ($\Lambda$CDM) and an open model with ${\Omega }_0=0.3$ (OCDM). We find that the optimization scheme proposed by Weiß, Gottlöber & Buchert (1996), in which the performance of the Lagrangian perturbation theory was optimized only for the Einstein-de Sitter cosmology, shows the excellent performances not only for SCDM model but also for both OCDM and $\Lambda$CDM models. This universality of the excellent performance of the optimized Post-Zel'dovich approximation is explained by the fact that a relation between the Post-Zel'dovich order's growth factor $E(a)$ and Zel'dovich order's one $D(a)$, $E(a)/D^2(a)$, is insensitive to the background cosmologies.

8 pages, 3 figures, LaTex using aaspp4.sty and epsf.sty, Accepted for publication in ApJ Letters

References in corpus (2)

• Evolution of structure in cold dark matter universes
• Non-linear vorticity-density coupling in Lagrangian dynamics

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