Minimal theory of quasidilaton massive gravity

In recent years, massive gravity theories have undergone a regain of interest after the development of ghost-free massive gravity (dRGT). One avenue that has been explored in order to make ghost-free massive gravity more interesting for cosmology, is the removal of dynamical degrees of freedom at Hamiltonian level, leading to the Minimal theory of massive gravity (MTMG). In this short talk I will briefly present the procedure used to achieve a Minimal theory of quasidilaton massive gravity. This theory is a small extension of the MTMG in which we add a quasidilaton-like scalar field, in a way that preserves the quasidilaton symmetry. I will then discuss some of the challenges and lessons learnt in constructing the theory and expose its good behavior at cosmological level, in particular showing that there are stable self-accelerating de Sitter solutions