Inflation in Kaluza-Klein cosmology. I. Transformation to fourth-order gravity.

Details Inflation in Kaluza-Klein cosmology. I. Transformation to fourth-order gravity. Inflation in Kaluza-Klein cosmology. I. Transformation to fourth-order gravity.

Dec 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990ijmpa...5.4561s&link_type=abstract

International Journal of Modern Physics A, Vol. 5, No. 24, p. 4561 - 4669

Physics

Cosmology: Kaluza-Klein Theory, Cosmology: Inflationary Universe

Scientific paper

The higher-dimensional Einstein vacuum equation with Λ-term is shown to be conformally equivalent to the four-dimensional field equation of scale-invariant fourth-order gravity. This holds for a general warped product between space-time and internal space of arbitrary dimension m which turns out to be an Einstein space. (The limit m→∞ makes sense!) Thus, the results concerning the attractor property of the power-law inflationary solution derived for fourth-order gravity hold for the Kaluza-Klein model, too.

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