# Covariant constraints of massive gravity in metric formulation

## TL;DR

This paper introduces a straightforward, Lorentz covariant method for deriving constraints in the de Rham-Gabadadze-Tolley massive gravity model, avoiding complex traditional approaches.

## Contribution

It presents a new method that derives the model's constraints without Hamiltonian, vielbein, or Stuckelberg formalisms, simplifying the analysis of ghost-freeness.

## Key findings

- Constraints derived in a Lorentz covariant form
- Avoids Hamiltonian and vielbein formalisms
- Maintains ghost-freeness in certain parameters

## Abstract

We propose a simple method for deriving the constraints of the de Rham-Gabadadze-Tolley model in the metric and the Lagrangian formulation, as possible as keeping the Lorentz covariance. In our formulation, it is not necessary to use the Hamilton analysis, the vielbein formulation, nor the Stuckelberg trick for showing the Boulwer-Deser ghost-freeness. It realizes the Lorentz covariant expressions of the constraints in a certain parameter region.