Inflationary Cosmologies from Compactification?

Details Inflationary Cosmologies from Compactification? Inflationary Cosmologies from Compactification?

2003-07-18

arxiv.org/abs/hep-th/0307179v1

Phys.Rev. D69 (2004) 066002

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, REVTeX4

Scientific paper

10.1103/PhysRevD.69.066002

We consider the compactification of (d+n)-dimensional pure gravity and of superstring/M-theory on an n-dimensional internal space to a d-dimensional FLRW cosmology, with spatial curvature k=-1,0,+1, in Einstein conformal frame. The internal space is taken to be a product of Einstein spaces, each of which is allowed to have arbitrary curvature and a time-dependent volume. By investigating the effective d-dimensional scalar potential, which is a sum of exponentials, it is shown that such compactifications, in the k=0,+1 cases, do not lead to large amounts of accelerating expansion of the scale factor of the resulting FLRW universe, and, in particular, not to inflation. The case k=-1 admits solutions with eternal accelerating expansion for which the acceleration, however, tends to zero at late times.

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