Towards Loop Quantum Gravity without the time gauge
General Relativity and Quantum Cosmology
2009-04-08 v2
Abstract
The Hamiltonian formulation of the Holst action is reviewed and it is provided a solution of second-class constraints corresponding to a generic local Lorentz frame. Within this scheme the form of rotation constraints can be reduced to a Gauss-like one by a proper generalization of Ashtekar-Barbero-Immirzi connections. This result emphasizes that the Loop Quantum Gravity quantization procedure can be applied when the time-gauge condition does not stand.
Cite
@article{arxiv.0811.1916,
title = {Towards Loop Quantum Gravity without the time gauge},
author = {Francesco Cianfrani and Giovanni Montani},
journal= {arXiv preprint arXiv:0811.1916},
year = {2009}
}
Comments
5 pages, accepted for publication in Phys. Rev. Lett