Classical Geometry from a Physical State in Canonical Quantum Gravity

Details Classical Geometry from a Physical State in Canonical Quantum Gravity Classical Geometry from a Physical State in Canonical Quantum Gravity

2000-04-20

arxiv.org/abs/gr-qc/0004070v2

Phys.Rev. D62 (2000) 064030

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Corrected typos, updated references

Scientific paper

10.1103/PhysRevD.62.064030

We construct a weave state which approximates a degenerate 3-metric of rank 2 at large scales. It turns out that a non-degenerate metric region can be evolved from this degenerate metric by the classical Ashtekar equations, hence the degeneracy of 3-metrics is not preserved by the evolution of Ashtekar's equations. As the s-knot state corresponding to this weave is shown to solve all the quantum constraints in loop quantum gravity, a physical state in canonical quantum gravity is related to the familiar classical geometry.

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