Singularities in Kaluza-Klein-Friedmann cosmological models

Details Singularities in Kaluza-Klein-Friedmann cosmological models Singularities in Kaluza-Klein-Friedmann cosmological models

Aug 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phrvd..36.1032r&link_type=abstract

Physical Review D (Particles and Fields), Volume 36, Issue 4, 15 August 1987, pp.1032-1035

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Field Theories In Dimensions Other Than Four, Particle-Theory And Field-Theory Models Of The Early Universe

Scientific paper

We consider five-dimensional Kaluza-Klein cosmologies that have three-dimensional spatial sections corresponding to Friedmann (Robertson-Walker) spaces. The extra (flat) dimension can be identified to close it to a circle. We investigate the ``crack-of-doom'' singularity in which the extra dimension goes to zero size, inducing a five-dimensional singularity of which the embedded four-dimensional cosmology has no indication until the singularity. In the Chodos-Detweiler model this crack-of-doom singularity occurs at time =∞, while in a closed Friedmann model like those of Mezzacappa and Matzner, it occurs at a finite time near the maximum of expansion. We present a diagrammatic solution for a range of such models, and show that by appropriate (parameter) choices, the ``crack of doom'' can be avoided both in three-sphere and in three-hyperboloid Kaluza-Klein-Friedmann solutions.

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