Superspace Dynamics and Perturbations Around "Emptiness"

Abstract

Superspace parametrized by gauge potentials instead of metric three-geometries is discussed in the context of the Ashtekar variables. Among other things, an "internal clock" for the full theory can be identified. Gauge-fixing conditions which lead to the natural geometrical separation of physical from gauge modes are derived with the use of the metric in connection-superspace. A perturbation scheme about an unconventional background which is inaccessible to conventional variables is presented. The resultant expansion retains much of the simplicity of Ashtekar's formulation of General Relativity.

16 pages.(Revised 9/93) Preprint VPI-IHEP-93-5, CGPG-93/9-2, gr-qc/9307018

References in corpus (2)

• Canonical Quantum Gravity
• Einstein manifolds in Ashtekar variables: explicit examples

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