Abstract
We consider the compactification of -dimensional pure gravity and of superstring or M-theory on an n-dimensional internal space to a d-dimensional Friedmann-Lemaître-Robertson-Walker (FLRW) cosmology, with a spatial curvature in the 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 cases, do not lead to large amounts of accelerating expansion of the scale factor of the resulting FLRW universe, and, in particular, do not lead to inflation. The case admits solutions with eternal accelerating expansion for which the acceleration, however, tends to zero at late times.
- Received 6 August 2003
DOI:https://doi.org/10.1103/PhysRevD.69.066002
©2004 American Physical Society