Kinematic quantum states for the Teleparallel Equivalent of General Relativity
arXiv:1304.6492 · doi:10.1007/s10714-013-1653-3
Abstract
A space of kinematic quantum states for the Teleparallel Equivalent of General Relativity is constructed by means of projective techniques. The states are kinematic in this sense that their construction bases merely on the structure of the phase space of the theory and does not take into account constraints on it. The space of quantum states is meant to serve as an element of a canonical quantization of the theory.
41 pages, no figures, Latex2e
References in corpus (6)
- The teleparallel equivalent of general relativity
- Hamiltonian formulation of unimodular gravity in the teleparallel geometry
- Construction of spaces of kinematic quantum states for field theories via projective techniques
- ADM-like Hamiltonian formulation of gravity in the teleparallel geometry
- 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
Cited by in corpus (16)
- Teleparallel Gravity: From Theory to Cosmology
- Conformally symmetric traversable wormholes in modified teleparallel gravity
- Construction of spaces of kinematic quantum states for field theories via projective techniques
- ADM-like Hamiltonian formulation of gravity in the teleparallel geometry
- Projective Limits of State Spaces I. Classical Formalism
- Projective Limits of State Spaces II. Quantum Formalism
- ADM-like Hamiltonian formulation of gravity in the teleparallel geometry: derivation of constraint algebra
- Projective Loop Quantum Gravity I. State Space
- On Teleparallel Quantum Gravity in Schwarzschild Space-Time
- Variables suitable for constructing quantum states for the Teleparallel Equivalent of General Relativity II
- A modification of the projective construction of quantum states for field theories
- Projective Limits of State Spaces: Quantum Field Theory without a Vacuum
- Projective Loop Quantum Gravity II. Searching for Semi-Classical States
- Kinematic projective quantum states for Loop Quantum Gravity coupled to tensor fields
- Constrained projective quantum states for the degenerate Plebanski gravity
- Space of quantum states built over metrics of fixed signature