Energy and momentum in multiple metric theories

Idan Talshir
Phys. Rev. D 88, 024050 – Published 29 July 2013

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 multimetric theories.

  • Received 26 November 2012

DOI:https://doi.org/10.1103/PhysRevD.88.024050

© 2013 American Physical Society

Authors & Affiliations

Idan Talshir*

  • School of Physics, Tel Aviv University, Ramat Aviv 69978, Israel
  • Department of Physics, Ariel University, Ariel 40700, Israel

  • *talshir@post.tau.ac.il

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Vol. 88, Iss. 2 — 15 July 2013

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