# Hamiltonian Formulation of Ghost Free Mimetic Massive Gravity

## TL;DR

This paper develops the Hamiltonian formulation of Ghost Free Mimetic Massive Gravity, demonstrating its ghost-free nature by analyzing degrees of freedom and Hamiltonian dynamics.

## Contribution

It provides the first Hamiltonian analysis of the ghost-free mimetic massive gravity theory, confirming its consistency and ghost-free property.

## Key findings

- The theory has only five degrees of freedom.
- Poisson brackets are computed and closure is established.
- The Hamiltonian equations of motion are derived and analyzed.

## Abstract

We present the Hamiltonian formulation of the Ghost Free Mimetic Massive Gravity theory. The linearized theory is studied and the Hamiltonian equations of motion are analyzed. Poisson brackets are computed and closure is proved. To prove that this theory is ghost-free, the number of degrees of freedom is analyzed showing that we have only five degrees of freedom.