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Hyperbolic space cosmologies

Chiang-Mei Chen1, Pei-Ming Ho1, Ishwaree P. Neupane1, John E. Wang1 and Nobuyoshi Ohta2

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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 ≥ 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.


Keywords

M-Theory

Classical Theories of Gravity

Physics of the Early Universe

Cosmology of Theories beyond the SM

 

E-print Number: hep-th/0306291

Cited: by |

Refers: to

PACS

11.25.Yb M theory

98.80.Cq Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)

11.27.+d Extended classical solutions; cosmic strings, domain walls, texture

11.25.Mj Compactification and four-dimensional models

Subjects

Gravitation and cosmology

Particle physics and field theory

Astrophysics and astroparticles

Dates

Issue 10 (October 2003)

Received 22 July 2003, accepted for publication 24 October 2003

Published 13 November 2003



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