Journal
ASTROPHYSICAL JOURNAL
Volume 599, Issue 1, Pages 24-30Publisher
IOP Publishing Ltd
DOI: 10.1086/379236
Keywords
cosmology : theory; dark matter; galaxies : clusters : general; methods : analytical; methods : numerical
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Cosmological models with different types of dark energy are becoming viable alternatives for standard models with the cosmological constant, yet such models are more difficult to analyze and to simulate. We present analytical approximations and discuss ways of making simulations for two families of models, which cover a wide range of possibilities and include models with both slow- and fast-changing ratio w = p/rho. More specifically, we give analytical expressions for the evolution of the matter density parameter Omega(m)(z) and the virial density contrast Delta(c) at any redshift z. The latter is used to identify halos and to find their virial masses. We also provide an approximation for the linear growth factor of linear fluctuations between redshift z = 40 and 0. This is needed to set the normalization of the spectrum of fluctuations. Finally, we discuss the expected behavior of the halo mass function and its time evolution.
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