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We discuss spherically symmetric solutions for point-like sources inLorentz-breaking massive gravity theories. This analysis is valid for  St\"uckelberg's effective field theory formulation, for Lorentz BreakingMassive Bigravity and general extensions of gravity leading to an extra term$-Sr^{\gamma}$ added to the Newtonian potential. The approach consists inanalyzing the stability of the geodesic equations, at the first order(deviation equation). The main result is a strong constrain in the space ofparameters of the theories. This motivates higher order analysis of geodesicperturbations in order to understand if a class of spherically symmetricLorentz-breaking massive gravity solutions, for self-gravitating systems,exists. Stable and phenomenologically acceptable solutions are discussed in theno-trivial case $S\neq 0$.

External stability for Spherically Symmetric Solutions in Lorentz Breaking Massive Gravity