Linearized gravity with matter time
General Relativity and Quantum Cosmology
2016-04-27 v2 High Energy Physics - Theory
Abstract
We study general relativity with pressureless dust in the canonical formulation, with the dust field chosen as a matter-time gauge. The resulting theory has three physical degrees of freedom in the metric field. The linearized canonical theory reveals two graviton modes and a scalar mode. We find that the graviton modes remain Lorentz covariant despite the time gauge, and that the scalar mode is ultralocal. We discuss also a modification of the theory to include a parameter in the Hamiltonian analogous to that in Horava-Lifshitz models. In this case the scalar mode is no longer ultralocal, and acquires a propagation speed dependent on the deformation parameter.
Keywords
Cite
@article{arxiv.1512.07854,
title = {Linearized gravity with matter time},
author = {Masooma Ali and Viqar Husain and Shohreh Rahmati and Jonathan Ziprick},
journal= {arXiv preprint arXiv:1512.07854},
year = {2016}
}
Comments
10 pages (references added)