Towards loop quantum gravity without the time gauge.
The Hamiltonian formulation of the Holst action is reviewed and it provides 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.
Cianfrani
Francesco
F
ICRA-International Center for Relativistic Astrophysics, Physics Department (G9), University of Roma Sapienza, Piazzale Aldo Moro 5, 00185 Rome, Italy. francesco.cianfrani@icra.it
Montani
Giovanni
G