Constant Curvature Solutions of Minimal Massive Gravity

Abstract

We study the constant curvature solutions of the minimal massive gravity (MMGR). After introducing a condition on the physical and the fiducial metrics as well as the Stuckelberg scalars which truncates the action to the Einstein-Hilbert one in the presence of an effective cosmological constant we focus on the solutions of the constraint equations written for the constant curvature physical metrics. We discuss two distinct formal solution methods for these constraint equations then present an explicit class of solutions for the Stuckelberg scalars and the fiducial metrics giving rise to constant curvature solutions of MMGR.