Superspace Dynamics and Perturbations Around "Emptiness"

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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

Scientific paper

10.1142/S021827189400068X

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.

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