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Numerical Solutions of Inflating Higher Dimensional Global Defects

Satsuki Shimono·Takeshi Chiba
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Abstract

We find numerical solutions of Einstein equations and scalar field equation for a global defect in higher dimensional spacetimes ($\geq 6$). We examine in detail the relation among the expansion rate $H$ and the symmetry-breaking scale $η$ and the number of extra dimensions $n$ for these solutions. We find that even if the extra dimensions do not have a cigar geometry, the expansion rate $H$ grows as $η$ increases, which is opposite to what is needed for the recently proposed mechanism for solving the cosmological constant problem. We also find that the expansion rate $H$ decreases as $n$ increases.

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Satsuki Shimono, Takeshi Chiba. 2005-03-28. Numerical Solutions of Inflating Higher Dimensional Global Defects. https://doi.org/10.1103/physrevd.71.084002

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