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The matter creation cosmology is revisited, including the evolution ofbaryons and dark matter particles. The creation process affects only darkmatter and not baryons. The dynamics of the $\Lambda$CDM model can bereproduced only if two conditions are satisfied: 1) the entropy densityproduction rate and the particle density variation rate are equal and 2) the(negative) pressure associated to the creation process is constant. However,the matter creation model predicts a present dark matter-to-baryon ratio muchlarger than that observed in massive X-ray clusters of galaxies, representing apotential difficulty for the model. In the linear regime, a fully relativistictreatment indicates that baryons are not affected by the creation process butthis is not the case for dark matter. Both components evolve together at earlyphases but lately the dark matter density contrast decreases since thebackground tends to a constant value. This behaviour produces a negative growthfactor, in disagreement with observations, being a further problem for thiscosmology.

Is the continuous matter creation cosmology an alternative to $\Lambda$CDM?