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We discuss how the centres of galaxy clusters evolve in time, showing theresults of a series of direct N-body simulations. In particular, we followedthe evolution of a galaxy cluster with a mass $M_{clus} \simeq 10^{14}$M$_{\odot}$ in different configurations. The dynamical evolution of the systemleads in all the cases to the formation of dense and massive sub-structures inthe cluster centre, that form in consequence of a series of collisions andmerging among galaxies travelling in the cluster core. We investigate how thestructural properties of the main merging product depends on thecharacteristics of those galaxies that contributed to its formation.

Formation and evolution of heavy sub-structures in the centre of galaxy clusters: the local effect of dark energy