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• W3100935764 endingPage "040" @default.
• W3100935764 startingPage "040" @default.
• W3100935764 abstract "In this work we review the theory of the spherical collapse model and critically analyse the aspects of the numerical implementation of its fundamental equations. By extending a recent work by [1], we show how different aspects, such as the initial integration time, the definition of constant infinity and the criterion for the extrapolation method (how close the inverse of the overdensity has to be to zero at the collapse time) can lead to an erroneous estimation (a few per mill error which translates to a few percent in the mass function) of the key quantity in the spherical collapse model: the linear critical overdensity δc, which plays a crucial role for the mass function of halos. We provide a better recipe to adopt in designing a code suitable to a generic smooth dark energy model and we compare our numerical results with analytic predictions for the EdS and the ΛCDM models. We further discuss the evolution of δc for selected classes of dark energy models as a general test of the robustness of our implementation. We finally outline which modifications need to be taken into account to extend the code to more general classes of models, such as clustering dark energy models and non-minimally coupled models." @default.
• W3100935764 created "2020-11-23" @default.
• W3100935764 creator A5047204834 @default.
• W3100935764 creator A5051244430 @default.
• W3100935764 creator A5072697065 @default.
• W3100935764 date "2017-10-25" @default.
• W3100935764 modified "2023-09-30" @default.
• W3100935764 title "On the implementation of the spherical collapse model for dark energy models" @default.
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