Global properties of Kaluza-Klein cosmologies

Details Global properties of Kaluza-Klein cosmologies Global properties of Kaluza-Klein cosmologies

Sep 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phrvd..36.1634w&link_type=abstract

Physical Review D (Particles and Fields), Volume 36, Issue 6, 15 September 1987, pp.1634-1648

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32

Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Field Theories In Dimensions Other Than Four, Black Holes

Scientific paper

The qualitative theory of dynamical systems is used to present an analysis of the phase space of Kaluza-Klein cosmological solutions with even-dimensional internal space, an arbitrary cosmological constant, and Freund-Rubin compactification. If either the physical or internal manifold has a single spatial dimension the cosmological solutions may correspond to black-hole interiors and pathological behavior can be expected. It is shown that such behavior does not occur in general, however. Some solutions with dilatons are also discussed.

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