New no-go theorems for cosmic acceleration with extra dimensions

Details New no-go theorems for cosmic acceleration with extra dimensions New no-go theorems for cosmic acceleration with extra dimensions

2008-02-14

arxiv.org/abs/0802.2106v5

Physics

High Energy Physics

High Energy Physics - Theory

v1: 4pp v2: references added v3: minor typo in (12a,b) corrected v4: minor corrections v5: re-organized

Scientific paper

We describe new no-go theorems for producing four-dimensional accelerating universes from warped dimensional reduction. The new theorems improve upon previous results by including dynamical extra dimensions and by treating four-dimensional universes that are not precisely de Sitter. The theorems show there exists a threshold four-dimensional equation-of-state parameter w below which the number of e-foldings of expansion is bounded, and give expressions for the maximum number of allowed e-foldings. In the generic case, the bound must be satisfied if the higher-dimensional theory satisfies the strong energy condition. If the compactification manifold M is one-dimensional, or if its (intrinsic) Ricci scalar R is identically zero, then the bound must be satisfied if the higher-dimensional theory satisfies the null energy condition.

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