Hamiltonian Analysis of Minimal Massive Gravity Coupled to Galileon Tadpole Term

TL;DR

This paper conducts a Hamiltonian analysis of minimal massive gravity coupled with Galileon tadpole terms, establishing the constraint structure and confirming the model's ghost-free nature with specific physical degrees of freedom.

Contribution

It provides a detailed Hamiltonian constraint analysis of the coupled model, demonstrating its ghost-free property and clarifying the physical degrees of freedom involved.

Findings

The model has ten massive gravity modes.

It includes 2(D-3) Galileon modes.

The theory is shown to be ghost free.

Abstract

We perform the Hamiltonian analysis of minimal massive gravity coupled to the Galileon tadpole term. We determine all constraints and we argue that the physical degrees of freedom correspond to ten modes of the massive gravity together with 2(D-3) Galileons so that given model is ghost free.