Hyperbolic Space Cosmologies

Abstract

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 $m\ge 7$, 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.

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

References in corpus (12)

• Accelerating Cosmologies from Compactification
• Accelerating Cosmologies from S-Branes
• A Study of Accelerating Cosmologies from Superstring/M theories
• Accelerating cosmologies from M/String theory compactifications
• A note on accelerating cosmologies from compactifications and S-branes
• General Brane Geometries from Scalar Potentials: Gauged Supergravities and Accelerating Universes
• Accelerating Cosmologies and a Phase Transition in M-Theory
• M/String Theory, S-branes and Accelerating Universe
• Cosmological Scaling Solutions and Cross-coupling Exponential Potential
• A Note on Acceleration from Product Space Compactification
• Cosmological string models from Milne spaces and SL(2,Z) orbifold
• On the solutions to accelerating cosmologies

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