The Role of Time Gauge in Quantizing Gravity

Understand

We present the Hamiltonian formulation of General Relativity with the Holst formulation in a generic local Lorentz frame.

• In particular, we outline that a Gauss constraint is inferred by a proper generalization of Ashtekar-Barbero-Immirzi connections.
• This feature allow to extend the Loop Quantum Gravity quantization procedure to the case in which no gauge fixing at all is performed of the Lorentz frame.