Analytic solutions in nonlinear massive gravity

We study spherically symmetric solutions in a covariant massive gravity model, which is a candidate for a ghost-free nonlinear completion of the Fierz-Pauli theory. There is a branch of solutions that exhibits the Vainshtein mechanism, recovering general relativity below a Vainshtein radius given by (rgm2)1/3, where m is the graviton mass and rg is the Schwarzschild radius of a matter source. Another branch of exact solutions exists, corresponding to de Sitter–Schwarzschild spacetimes where the curvature scale of de Sitter space is proportional to the mass squared of the graviton.