$SU(1,1)$ Barbero-like variables derived from Holst action
General Relativity and Quantum Cosmology
2018-12-10 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We work on a spacetime manifold foliated by timelike leaves. In this setting, we explore the solution of the second-class constraints arising during the canonical analysis of the Holst action with a cosmological constant. The solution is given in a manifestly Lorentz-covariant fashion, and the resulting canonical formulation is expressed using several sets of real variables that are related to one another by canonical transformations. By applying a gauge fixing to this formulation, we obtain a description of gravity as an gauge theory that resembles the Ashtekar-Barbero formulation.
Cite
@article{arxiv.1812.02755,
title = {$SU(1,1)$ Barbero-like variables derived from Holst action},
author = {Merced Montesinos and Jorge Romero and Ricardo Escobedo and Mariano Celada},
journal= {arXiv preprint arXiv:1812.02755},
year = {2018}
}
Comments
It matches published version