Anisotropic Friedmann–Robertson–Walker universe from nonlinear massive gravity

Abstract

Motivated by the recent no-go result of homogeneous and isotropic solutions in the nonlinear massive gravity, we study fixed points of evolution equations for a Bianchi type-I universe. We find a new attractor solution with non-vanishing anisotropy, on which the physical metric is isotropic but the Stückelberg configuration is anisotropic. As a result, at the background level, the solution describes a homogeneous and isotropic universe, while a statistical anisotropy is expected from perturbations, suppressed by smallness of the graviton mass.