Generalized Chaplygin gas with \(\alpha = 0\) and the \(\Lambda CDM\) cosmological model

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 backgr...

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Veröffentlicht in:arXiv.org 2003-07
Hauptverfasser: Fabris, J C, Gonçalves, S V B, de Sá Ribeiro, R
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Sprache:eng
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Zusammenfassung: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0307028