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In this work we study the cosmological simulations as a tool to understandthe formation of large-scale structure of the universe, for this, we show theequivalence of Newtonian cosmology with Poisson gauge and we study the solutionof the Einstein's field equations for this gauge. The simulations are essentialfor taking account the results of the cosmological model, allowing to comparethe results with observational data. The N-bodies simulations have been usedfrom systems of few bodies to the evolution and formation of nonlinear largescale structure as filaments and galactic halos.

Cosmological simulations: a tool for understanding the formation of large scale structure and connection with the Newtonian cosmology