2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/226037The 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.5 pages, accepted for publication in Phys. Rev. LettGeneral Relativity and Quantum Cosmologytext