Manifestly Lorentz-covariant variables for the phase space of general relativity
General Relativity and Quantum Cosmology
2018-01-17 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We present a manifestly Lorentz-covariant description of the phase space of general relativity with the Immirzi parameter. This formulation emerges after solving the second-class constraints arising in the canonical analysis of the Holst action. We show that the new canonical variables give rise to other Lorentz-covariant parametrizations of the phase space via canonical transformations. The resulting form of the first-class constraints in terms of new variables is given. In the time gauge, these variables and the constraints become those found by Barbero.
Keywords
Cite
@article{arxiv.1712.00040,
title = {Manifestly Lorentz-covariant variables for the phase space of general relativity},
author = {Merced Montesinos and Jorge Romero and Mariano Celada},
journal= {arXiv preprint arXiv:1712.00040},
year = {2018}
}
Comments
It matches published version