Constraints on bimetric gravity. Part I. Analytical constraints

Ghost-free bimetric gravity is an extension of general relativity, featuring a massive spin-2 field coupled to gravity. We parameterize the theory with set observables having specific physical interpretations. For background cosmology and static, spherically symmetric solutions (for example approximating gravitational potential solar system), there are four directions in parameter space which relativity approached. Requiring that working screening mechanism nonsingular evolution Universe, we place analytical constraints on rule out many models studied literature. Cosmological where accelerated expansion Universe explained by dynamical interaction rather than cosmological constant, still viable.