Hamiltonian Formalism of Bimetric Gravity In Vierbein Formulation

TL;DR

This paper performs a Hamiltonian analysis of bimetric gravity in vierbein formulation, identifying constraints and demonstrating the elimination of the scalar mode through an additional constraint.

Contribution

It provides a detailed Hamiltonian framework for bimetric gravity in vierbein form, including the discovery of an extra constraint to remove the scalar mode.

Findings

All constraints in the theory are identified and classified.

An additional constraint is found that eliminates the scalar mode.

The Hamiltonian structure supports the consistency of the theory.

Abstract

This paper is devoted to the Hamiltonian analysis of bimetric gravity in vierbein formulation. We identify all constraints and determine their nature. We also show an existence of additional constraint so that the scalar mode can be eliminated.