Massive gravity, canonical structure and gauge symmetry

Abstract

Performing Hamiltonian analysis of the massive gravity [9] in full phase space, we see that the theory is ghost free. We also see in a more clear way that this result is intrinsic of the interaction term and does not depend on the variables involved. Since no first class constraint emerges, the theory seems to lack gauge symmetry. We show that this is due to the presence of an auxiliary field, and the symmetry may be manifest in the Stuckelberg formulation. We give the generating functional of gauge transformation in this model.

14 pages, published version

References in corpus (4)

• Resummation of Massive Gravity
• Degrees of Freedom in Massive Gravity
• On the local structure of spacetime in ghost-free bimetric theory and massive gravity
• New Branches of Massive Gravity

Cited by in corpus (5)

• ADM formulation and Hamiltonian analysis of $f(Q)$ gravity
• Hamiltonian analysis of General Relativity and extended gravity from the iterative Faddeev-Jackiw symplectic approach
• Hamiltonian structure of bi-gravity, problem of ghost and bifurcation
• Gauge generator for bi-gravity and multi-gravity models
• Covariant constraints of massive gravity in metric formulation