Unambiguous spin-gauge formulation of canonical general relativity with conformorphism invariance
arXiv:gr-qc/0507044 · doi:10.1103/PhysRevD.72.087501
Abstract
We present a parameter-free gauge formulation of general relativity in terms of a new set of real spin connection variables. The theory is constructed by extending the phase space of the recently formulated conformal geometrodynamics for canonical gravity to accommodate a spin gauge description. This leads to a further enlarged set of first class gravitational constraints consisting of a reduced Hamiltonian constraint and the canonical generators for spin gauge and conformorphism transformations. Owing to the incorporated conformal symmetry, the new theory is shown to be free from an ambiguity of the Barbero-Immirzi type.
arXiv comment4 pages; minor clarifications made; new refs added
References in corpus (7)
- Background Independent Quantum Gravity: A Status Report
- Real Ashtekar Variables for Lorentzian Signature Space-times
- Black hole entropy in Loop Quantum Gravity
- Loop Quantum Gravity
- Black hole entropy from Quantum Geometry
- Real and complex connections for canonical gravity
- Conformal geometrodynamics: True degrees of freedom in a truly canonical structure
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