English

Causal propagation of constraints in bimetric relativity in standard 3+1 form

High Energy Physics - Theory 2020-01-08 v1 General Relativity and Quantum Cosmology

Abstract

The goal of this work was to investigate the propagation of the constraints in the ghost-free bimetric theory where the evolution equations are in standard 3+1 form. It is established that the constraints evolve according to a first-order symmetric hyperbolic system whose characteristic cone consists of the null cones of the two metrics. Consequently, the constraint evolution equations are well-posed, and the constraints stably propagate.

Keywords

Cite

@article{arxiv.1804.03659,
  title  = {Causal propagation of constraints in bimetric relativity in standard 3+1 form},
  author = {Mikica Kocic},
  journal= {arXiv preprint arXiv:1804.03659},
  year   = {2020}
}

Comments

17 pages, 3 figures