Variables suitable for constructing quantum states for the Teleparallel Equivalent of General Relativity I

Abstract

We present the first part of an analysis aimed at introducing variables which are suitable for constructing a space of quantum states for the Teleparallel Equivalent of General Relativity via projective techniques - the space is meant to be applied in a canonical quantization of the theory. We show that natural configuration variables on the phase space of the theory can be used to construct a space of quantum states which however possesses an undesired property. We introduce then a family of new variables such that some elements of the family can be applied to build a space of quantum states free of that property.

34 pages, 5 figures, Latex2e

References in corpus (3)

• The teleparallel equivalent of general relativity
• ADM-like Hamiltonian formulation of gravity in the teleparallel geometry
• Variables suitable for constructing quantum states for the Teleparallel Equivalent of General Relativity I

Cited by in corpus (10)

• Teleparallel Gravity: From Theory to Cosmology
• ADM-like Hamiltonian formulation of gravity in the teleparallel geometry
• Kinematic quantum states for the Teleparallel Equivalent of General Relativity
• ADM-like Hamiltonian formulation of gravity in the teleparallel geometry: derivation of constraint algebra
• On Teleparallel Quantum Gravity in Schwarzschild Space-Time
• Variables suitable for constructing quantum states for the Teleparallel Equivalent of General Relativity II
• Variables suitable for constructing quantum states for the Teleparallel Equivalent of General Relativity I
• Space of quantum states built over metrics of fixed signature
• Constraints of the Teleparallel Equivalent of General Relativity in a gauge
• The Einstein constraints and differential forms