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Phys. Rev. D 51, 5630–5635 (1995)

What is the geometry of superspace?

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Domenico Giulini
Fakultät für Physik, Universität Freiburg, Hermann-Herder Strasse 3, D-79104 Freiburg, Germany

Received 27 June 1994; published in the issue dated 15 May 1995

The configuration space of general relativity, called superspace or the space of three-geometries, inherits certain geometric structures from the Wheeler-DeWitt metric on the larger space of Riemannian metrics. We analytically investigate the signature properties of the particular geometric structure associated with the choice of constant lapse function. We point out that this metric has rather special properties and generically suffers from signature changes.

© 1995 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.51.5630
DOI:
10.1103/PhysRevD.51.5630
PACS:
04.60.Ds, 02.40.Ky, 04.20.Cv