Anisotropic Symmetries in Massive Gravity
We discuss anisotropic symmetries in massive gravity and their dependence on the curvature vector field. The generalization of the Gebauer-Wigner-Mohn hypothesis to massive gravity is introduced, and this generalizes the one proposed by Bekenstein-Hawking. The Jacobian relaxation formula is developed to generalize the Wasserman-Schwarz formula, and the corresponding corresponding Euler characteristic is determined. The corresponding properties of massless scalar fields are obtained. We discuss the possible semistable scalar fields in the presence of massive gravity.