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Several extensions of General Relativity and high energy physics includescalar fields as extra degrees of freedom. In the search for predictions in thenon-linear regime of cosmological evolution, the community makes use ofnumerical simulations in which the quasi-static limit is assumed when solvingthe equation of motion of the scalar field. In this Letter, we propose a methodto solve the full equations of motion for scalar degrees of freedom coupled tomatter. We run cosmological simulations which track the full time and spaceevolution of the scalar field, and find striking differences with respect tothe commonly used quasi-static approximation. This novel procedure reveals newphysical properties of the scalar field and uncovers concealed astrophysicalphenomena which were hidden in the old approach.

Releasing scalar fields: cosmological simulations of scalar-tensor theories for gravity beyond the static approximation