Astronomy and Astrophysics – Astrophysics – Cosmology and Extragalactic Astrophysics
Scientific paper
2009-07-20
International Journal of Modern Physics D Vol 21 (2012) 1250026
Astronomy and Astrophysics
Astrophysics
Cosmology and Extragalactic Astrophysics
24 pages
Scientific paper
10.1142/S0218271812500265
We study the matter density fluctuations in the running cosmological constant (RCC) model using linear perturbations in the longitudinal gauge. Using this observable we calculate the growth rate of structures and the matter power spectrum, and compare them with the $SDSS$ data and other available data of the linear growth rate. The distribution of collapsed structures may also constraints models of dark energy. It is shown that RCC model enhances departures from the $\Lambda CDM$ model for both cluster number and cumulative cluster number predicted. In general increasing the characteristic parameter $\nu$ leads to significant growth of the cluster number. In general, we found that the theory of perturbations provides a good tool to distinguish the new model $RCC$ of the standard cosmological model $\Lambda CDM$.
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