Energy and momentum in multiple metric theories

Abstract

We derive the expressions for canonical energy, momentum, and angular momentum for multiple metric theories. We prove that although the metric fields are generally interacting, the total energy is the sum of conserved energies corresponding to each metric. A positive energy theorem is given as a result. In addition, we present an Hamiltonian formalism for a subgroup of multi-metric theories.

References in corpus (4)

• Bimetric Gravity from Ghost-free Massive Gravity
• Confirmation of the Secondary Constraint and Absence of Ghost in Massive Gravity and Bimetric Gravity
• Bimetric MOND gravity
• Acausality of Massive Gravity

Cited by in corpus (2)

• Stable Bimetric Theories
• First order formalism for bimetric theories with connection interaction