Massive Gravity in (Anti) de Sitter Space

Massive gravity is a small deformation to general relativity, found by giving the graviton a mass. Given the mass range imposed by current experimental constraints, massive gravity will be indistinguishable from GR on shorter distance scales, like those relevant to the solar system, but for larger distances, like those on the order of the Hubble scale, the mass weakens the gravitational force leading to differences between the two theories. This makes massive gravity an appealing theory to explore, with the potential to give an accelerating universe without dark energy. In this work, we examine the properties of Massive Gravity in (anti) de Sitter. In de Sitter, the spacetime approximating our currently expanding universe, we examine cosmological and black hole solutions and their features. In the massless decoupling limit of massive gravity in anti de Sitter, a non-linear Proca theory emerges, which has a new symmetry. We discuss the implications this has for the dual CFT theory through the AdS/CFT correspondence.