Spherical collapse of non-top-hat profiles in the presence of dark energy with arbitrary sound speed

We study the spherical collapse of non-top-hat matter fluctuations in presence dark energy with arbitrary sound speed. The model is described by a system partial differential equations solved using pseudo-spectral method collocation points. This can reproduce known analytical solutions linear regime an accuracy better than $10^{-6}\%$ and $10^{-2}\%$ for virialization threshold given usual model. show impact nonlinear on profiles, peculiar velocity gravitational potential. also that phantom models low speed develop pathological behaviour around halos, namely negative density. dependence density computed, confirming extending previous results limit homogeneous clustering energy.