What is the geometry of superspace?

Domenico Giulini
Phys. Rev. D 51, 5630 – Published 15 May 1995
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Abstract

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.

  • Received 27 June 1994

DOI:https://doi.org/10.1103/PhysRevD.51.5630

©1995 American Physical Society

Authors & Affiliations

Domenico Giulini

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

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Issue

Vol. 51, Iss. 10 — 15 May 1995

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