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Uspekhi Fizicheskikh Nauk, 1991, Volume 161, Number 5, Pages 94–104
DOI: https://doi.org/10.3367/UFNr.0161.199105m.0094
(Mi ufn7395)
 

This article is cited in 12 scientific papers (total in 13 papers)

TO THE 70TH ANNIVERSARY OF ANDREY DMITRIEVICH SAKHAROV

Cosmological transitions with changes in the signature of the metric

A. D. Sakharov

P. N. Lebedev Physical Institute, the USSR Academy of Sciences, Moscow
Abstract: It is conjectured that there exist states of the physical continuum which include regions with different signatures of the metric and that the observed Universe and an infinite number of other Universes arose as a result of quantum transitions with a change in the signature of the metric. The Lagrangian in such a theory must satisfy conditions of non-negativity in the regions with even signature. Signature here means the number of time coordinates. The induced gravitational Lagrangian in a conformally invariant theory of Kaluza–Klein type evidently satisfies this requirement and leads to effective equations of the gravitational theory of macroscopic space identical to the equations of the general theory of relativity. It is suggested that in our Universe there exist in addition to the observable (macroscopic) time dimension two or some other even number of compactified time dimensions. It is suggested that the formation of a Euclidean region in the center of a black hole or in the cosmological contraction of the Universe (if it is predetermined by the dynamics) is a possible outcome of gravitational collapse.
Received: March 14, 1984
English version:
Physics–Uspekhi, 1991, Volume 34, Issue 5, Pages 409–413
DOI: https://doi.org/10.1070/PU1991v034n05ABEH002502
Document Type: Article
UDC: 524.88
PACS: 98.80.Cq, 97.60.Lf, 04.50.+h
Language: Russian
Citation: A. D. Sakharov, “Cosmological transitions with changes in the signature of the metric”, UFN, 161:5 (1991), 94–104; Phys. Usp., 34:5 (1991), 409–413
Citation in format AMSBIB
\Bibitem{Sak91}
\by A.~D.~Sakharov
\paper Cosmological transitions with changes in the signature of the metric
\jour UFN
\yr 1991
\vol 161
\issue 5
\pages 94--104
\mathnet{http://mi.mathnet.ru/ufn7395}
\crossref{https://doi.org/10.3367/UFNr.0161.199105m.0094}
\transl
\jour Phys. Usp.
\yr 1991
\vol 34
\issue 5
\pages 409--413
\crossref{https://doi.org/10.1070/PU1991v034n05ABEH002502}
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  • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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