Generalized Chaplygin gas with $α= 0$ and the $ΛCDM$ cosmological model

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Latex file, 4 pages, 2 figures in eps format

Scientific paper

10.1023/B:GERG.0000006967.34989.

The generalized Chaplygin gas model is characterized by the equation of state $p = - \frac{A}{\rho^\alpha}$. It is generally stated that the case $\alpha = 0$ is equivalent to a model with cosmological constant and dust ($\Lambda CDM$). In this work we show that, if this is true for the background equations, this is not true for the perturbation equations. Hence, the mass spectrum predicted for both models may differ.

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