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We study in detail static spherically symmetric solutions of non linearPauli-Fierz theory. We obtain a numerical solution with a constant densitysource. This solution shows a recovery of the corresponding solution of GeneralRelativity via the Vainshtein mechanism. This result has already been presentedby us in a recent letter, and we give here more detailed information on it aswell as on the procedure used to obtain it. We give new analytic insights uponthis problem, in particular for what concerns the question of the number ofsolutions at infinity. We also present a weak field limit which allows tocapture all the salient features of the numerical solution, including theVainshtein crossover and the Yukawa decay.

The recovery of General Relativity in massive gravity via the Vainshtein mechanism