Hyperbolic Space Cosmologies
Abstract
We present a systematic study of accelerating cosmologies obtained from M/string theory compactifications of hyperbolic spaces with timevarying volume. A set of vacuum solutions where the internal space is a product of hyperbolic manifolds is found to give qualitatively the same accelerating fourdimensional FLRW universe behavior as a single hyperbolic space. We also examine the possibility that our universe is a hyperbolic space and provide exact Milne type solutions, as well as intersecting Sbrane solutions. When both the usual 4D spacetime and the mdimensional internal space are hyperbolic, we find eternally accelerating cosmologies for m geq 7, with and without form field backgrounds. In particular, the effective potential for a magnetic field background in the large 3 dimensions is positive definite with a local minimum and thus enhances the eternal acceleration.
 Publication:

Journal of High Energy Physics
 Pub Date:
 October 2003
 DOI:
 10.1088/11266708/2003/10/058
 arXiv:
 arXiv:hepth/0306291
 Bibcode:
 2003JHEP...10..058C
 Keywords:

 High Energy Physics  Theory;
 Astrophysics;
 Condensed Matter
 EPrint:
 33 pages, 2 figures