Quantum effects in homogeneous multidimensional cosmologies

Details Quantum effects in homogeneous multidimensional cosmologies Quantum effects in homogeneous multidimensional cosmologies

Dec 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phrvd..38.3625s&link_type=abstract

Physical Review D (Particles and Fields), Volume 38, Issue 12, 15 December 1988, pp.3625-3638

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5

Field Theories In Dimensions Other Than Four

Scientific paper

In the present paper we determine quantum distribution functions for a wide class of multidimensional cosmological models. The exact formulas for quantum distribution functions are given and their universal character at high and low temperatures shown. The obtained formulas provide us with the possibility to investigate the metric back reaction and to discuss the dimensional reduction problem. The assumption of the low-temperature approximation gives us the possibility to discuss the dynamics by using the methods of dynamical systems. Stable solutions, within the class FRW×S3×S3 models, where FRW denotes Friedmann, Robertson and Walker, are discussed, and it is shown that only a zero-measure set of trajectories in the phase space leads to a solution with a static microspace. This analysis shows that, insofar as quantum effects lead to solutions with a static microspace, these solutions are unstable.

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