Signature change induces compactification

Franz Embacher
Phys. Rev. D 52, 2150 – Published 15 August 1995
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Abstract

It is shown, using a FRW model with S3×S6 as spatial sections and a positive cosmological constant, that classical signature change implies a new compactification mechanism. The internal scale factor is of the order Λ1/2, and the solutions are stable against small perturbations. In the case of compactified S6, it is shown that the effective four-dimensional space-time metric has a Lorentzian signature, undergoes exponential inflation in S3, and is unique. Speculations concerning relations to quantum cosmology and conceivable modifications are added.

  • Received 20 April 1995

DOI:https://doi.org/10.1103/PhysRevD.52.2150

©1995 American Physical Society

Authors & Affiliations

Franz Embacher

  • Institut für Theoretische Physik, Universität Wien, Boltzmanngasse 5, A-1090 Wien, Austria

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Vol. 52, Iss. 4 — 15 August 1995

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