On massive gravity and bigravity in three dimensions

Abstract

In this paper we investigate possible consistent ghost-free models containing massive spin 2 particles in three dimensions. We work in a constructive approach based on the frame-like gauge invariant description for such massive spin 2 particles. We provide the most general form of linear approximations, i.e. cubic vertices in the Lagrangian and linear in fields corrections to gauge transformations. As for the possibility to go beyond the linear approximation, we show that there exists at least one solution that admits non-singular massless limit and that corresponds to a so called "New massive gravity".

15 pages

References in corpus (6)

• Resummation of Massive Gravity
• Massive Gravity in Three Dimensions
• More on Massive 3D Gravity
• Proof of Consistency of Nonlinear Massive Gravity in the Stuckelberg Formulation
• On massive spin 2 interactions
• Frame-like gauge invariant formulation for massive high spin particles

Cited by in corpus (5)

• Recent developments in bimetric theory
• Massive spin-2 in the Fradkin-Vasiliev formalism. I. Partially massless case
• Frame-like gauge invariant Lagrangian formulation of massive fermionic higher spin fields in AdS_3 space
• Formalism of gauge invariant curvatures and constructing the cubic vertices for massive spin-3/2 field in AdS_4 space
• Massless spin 2 interacting with massive higher spins in d=3