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Conformal Superspace: the configuration space of general relativity

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arxiv 1009.3559 v1 pith:VFCEM2IO submitted 2010-09-18 gr-qc

Julian Barbour , Niall Ó Murchadha This is my paper · ORCID
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keywords conformalsuperspaceconfigurationeinsteingeneralrelativityspaceallows
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It has long been considered that conformal superspace is the natural configuration space for canonical general relativity. However, this was never definitively demonstrated. We have found that the standard conformal method of solving the Einstein constraints has an unexpected extra symmetry. This allows us to complete the project. We show that given a point and a velocity in conformal superspace, the Einstein equations generate a unique curve in conformal superspace.

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