Conformal rotation in Bianchi type-I quantum cosmology

Kristin Schleich
Phys. Rev. D 39, 2192 – Published 15 April 1989
PDFExport Citation

Abstract

We study the issue of conformal rotation in compact cosmologies in the Bianchi type-I universe. Its Euclidean action, like that for the full theory, is unbounded below. However, the physical degrees of freedom can be isolated explicitly and quantities such as propagators can be expressed as convergent Euclidean functional integrals in terms of them. From these integrals we derive convergent Euclidean functional integrals over the full set of variables for these same quantities. These integrals appear weighted by actions with one variable rotated to complex values, that corresponding to the intrinsic time. This model provides insight into the physical meaning of the conformal rotation of Gibbons, Hawking, and Perry in the compact case. Compact spatial geometries carry intrinsic time information; conformal rotation corresponds to Euclideanizing this intrinsic time.

  • Received 3 August 1988

DOI:https://doi.org/10.1103/PhysRevD.39.2192

©1989 American Physical Society

Authors & Affiliations

Kristin Schleich

  • Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742

References (Subscription Required)

Click to Expand
Issue

Vol. 39, Iss. 8 — 15 April 1989

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×