Inflationary cosmologies from compactification?
Jul, 200322 pages
Published in:
- Phys.Rev.D 69 (2004) 066002
e-Print:
- hep-th/0307179 [hep-th]
Report number:
- DAMTP-2003-68
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Abstract:
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.- 11.25.Mj
- 04.50.+h
- 98.80.Cq
- inflation
- gravitation
- M-theory
- space-time: higher-dimensional
- potential: scalar
- space-time: Robertson-Walker
- attractor
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