Nonsingular global string compactifications

Abstract

We consider an exotic `compactification' of spacetime in which there are two infinite extra dimensions, using a global string instead of a domain wall. By having a negative cosmological constant we prove the existence of a nonsingular static solution using a dynamical systems argument. A nonsingular solution also exists in the absence of a cosmological constant with a time-dependent metric. We compare and contrast this solution with the Randall-Sundrum universe and the Cohen-Kaplan spacetime, and consider the options of using such a model as a realistic resolution of the hierarchy problem.

8 pages revtex, 1 figure : References added and equation corrected

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• An exotic class of Kaluza-Klein models
• Spacetime as a membrane in higher dimensions
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