Towards Loop Quantum Gravity without the time gauge

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.

5 pages, accepted for publication in Phys. Rev. Lett

References in corpus (3)

• LQG vertex with finite Immirzi parameter
• Fundamentals and recent developments in non-perturbative canonical Quantum Gravity
• Boost invariance of the gravitational field dynamics: quantization without time gauge