Stability of self-consistent higher-dimensional cosmological solutions

Details Stability of self-consistent higher-dimensional cosmological solutions Stability of self-consistent higher-dimensional cosmological solutions

Oct 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phrvd..32.1921c&link_type=abstract

Physical Review D (Particles and Fields), Volume 32, Issue 8, 15 October 1985, pp.1921-1927

Physics

12

Theory Of Quantized Fields, Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity

Scientific paper

The problem of self-consistent solutions in higher-dimensional spacetimes is considered. The importance of quantum effects in this analysis is emphasized. It is shown how the one-loop effective action for conformally invariant matter fields on a time-dependent Kaluza-Klein background may be obtained from previously known results on static backgrounds. The field equations are obtained and solved for self-consistent solutions in cases for which the four-dimensional part of the space is a Friedmann-Robertson-Walker space. Stability of the solutions to small perturbations is studied. All solutions, including the product of flat four-dimensional space with a sphere, are shown to be unstable.

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