Perfect-fluid cosmologies with extra dimensions

Details Perfect-fluid cosmologies with extra dimensions Perfect-fluid cosmologies with extra dimensions

Jun 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phrvd..37.3761g&link_type=abstract

Physical Review D (Particles and Fields), Volume 37, Issue 12, 15 June 1988, pp.3761-3764

Mathematics

Logic

15

Exact Solutions

Scientific paper

We give an analysis of the solutions of the n-dimensional vacuum Einstein equations with a metric in the form of a direct sum of a Friedmann-Robertson-Walker (FRW) metric and a Kasner-type Euclidean metric. The solutions are interpreted as four-dimensional perfect-fluid cosmological FRW models, using the simple ansatz proposed by Ibán~ez and Verdaguer. We first obtain the general solution for flat models. These are perfect-fluid solutions that can be made compatible with contraction of all the extra dimensions. The general compatibility of the field equations is then discussed. It is found that for n>5 both open and closed models admit a range of perfect-fluid solutions whose qualitative behavior is analyzed.

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