Inflation, Singular Instantons and Eleven Dimensional Cosmology

Details Inflation, Singular Instantons and Eleven Dimensional Cosmology Inflation, Singular Instantons and Eleven Dimensional Cosmology

1998-07-14

arxiv.org/abs/hep-th/9807100v2

Phys.Rev. D59 (1999) 023502

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, no figures, REVTeX, typos corrected and reference added

Scientific paper

10.1103/PhysRevD.59.023502

We investigate cosmological solutions of eleven dimensional supergravity compactified on a squashed seven manifold. The effective action for the four dimensional theory contains scalar fields describing the size and squashing of the compactifying space. The potential for these fields consists of a sum of exponential terms. At early times only one such term is expected to dominate. The condition for an exponential potential to admit inflationary solutions is derived and it is shown that inflation is not possible in our model. The criterion for an exponential potential to admit a Hawking-Turok instanton is also derived. It is shown that the instanton remains singular in eleven dimensions.

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