English

Energy and momentum in multiple metric theories

General Relativity and Quantum Cosmology 2013-09-10 v3

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.

Keywords

Cite

@article{arxiv.1211.5985,
  title  = {Energy and momentum in multiple metric theories},
  author = {Idan Talshir},
  journal= {arXiv preprint arXiv:1211.5985},
  year   = {2013}
}