Signature change induces compactification

Details Signature change induces compactification Signature change induces compactification

1994-10-11

arxiv.org/abs/gr-qc/9410012v3

Phys.Rev.D52:2150-2161,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

31 pages, LaTeX, 4 Figures are available on request as hard copies. Some clarifications are included concerning the particular

Scientific paper

10.1103/PhysRevD.52.2150

It is shown -- using a FRW model with ${\bf S}^3 \times {\bf S}^6$ 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 $\Lambda^{-1/2}$, and the solutions are stable against small perturbatons. In the case of compactified ${\bf S}^6$, it is shown that the effective four-dimensional space-time metric has Lorentzian signature, undergoes exponential inflation in ${\bf S}^3$ and is unique. Speculations concerning relations to quantum cosmology and conceivable modifications are added.

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