Restoring general relativity in massive bigravity theory

We study static spherically symmetric solutions of massive bigravity theory, free from the Boulware-Deser ghost. We show the recovery of general relativity via the Vainshtein mechanism, in the weak limit of the physical metric. We find a single polynomial equation determining the behavior of the solution for distances smaller than the inverse graviton mass. This equation is generically of the seventh order, while for a specific choice of the parameters of the theory it can be reduced to lower orders. The solution is analytic in different regimes: for distances below the Vainshtein radius (where general relativity is recovered), and in the opposite regime, beyond the Vainshtein radius, where the solution approaches the flat metric.