Hyperbolic Space Cosmologies

Details Hyperbolic Space Cosmologies Hyperbolic Space Cosmologies

2003-06-30

arxiv.org/abs/hep-th/0306291v3

JHEP 0310:058,2003

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, 2 figures; v2 refs added; v3 minor change in text, JHEP version

Scientific paper

10.1088/1126-6708/2003/10/058

We present a systematic study of accelerating cosmologies obtained from M/string theory compactifications of hyperbolic spaces with time-varying volume. A set of vacuum solutions where the internal space is a product of hyperbolic manifolds is found to give qualitatively the same accelerating four-dimensional 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 S-brane solutions. When both the usual 4D spacetime and the m-dimensional 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 eternally accelerating expansion.

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