Hamiltonian Formalism of General Bimetric Gravity

Abstract

We perform the Hamiltonian analysis of general bimetric gravity. We determine four first class constraints that are generators of the diagonal diffeomorphism. We further analyze the remaining constraints and we present an evidence that these constraints should be the second class constraints in order to have theory with the Hamiltonian constraint as the first class constraint. We also discuss the case of the non-linear bimetric gravity and argue that it is very difficult to eliminate the ghost mode.

21 pages, typos corrected

References in corpus (10)

• Resummation of Massive Gravity
• Interacting Spin-2 Fields
• 3+1 Formalism and Bases of Numerical Relativity
• Massive gravity from bimetric gravity
• When is Multimetric Gravity Ghost-free?
• A note on bigravity and dark matter
• Bigravity in Kuchar's Hamiltonian formalism. 1. The general case
• Bigravity in Kuchar's Hamiltonian formalism. 2. The special case
• Is Bimetric Gravity Really Ghost Free?
• Hamiltonian Formalism of Particular Bimetric Gravity Model

Cited by in corpus (10)

• Massive Gravity
• Canonical structure of Tetrad Bimetric Gravity
• Analysis of constraints and their algebra in bimetric theory
• Bigravity in Kuchar's Hamiltonian formalism. 1. The general case
• Bigravity in Kuchar's Hamiltonian formalism. 2. The special case
• Hamiltonian Formalism of Bimetric Gravity In Vierbein Formulation
• Hamiltonian structure of bi-gravity, problem of ghost and bifurcation
• Symplectic realization of two interacting spin-two fields in three dimensions
• Hamiltonian structure of three-dimensional gravity in Vielbein formalism
• Gauge generator for bi-gravity and multi-gravity models