Dynamical Compactification from de Sitter Space
Carroll, Sean M.
Johnson, Matthew C.
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CitationCarroll, Sean M., Matthew C. Johnson, and Lisa Randall. 2009. Dynamical compactification from de Sitter space. Journal of High Energy Physics 11: 094.
AbstractWe show that \(D\)-dimensional de Sitter space is unstable to the nucleation of non-singular geometries containing spacetime regions with different numbers of macroscopic dimensions, leading to a dynamical mechanism of compactification. These and other solutions to Einstein gravity with flux and a cosmological constant are constructed by performing a dimensional reduction under the assumption of \(q\)-dimensional spherical symmetry in the full \(D\)-dimensional geometry. In addition to the familiar black holes, black branes, and compactification solutions we identify a number of new geometries, some of which are completely non-singular. The dynamical compactification mechanism populates lower-dimensional vacua very differently from false vacuum eternal inflation, which occurs entirely within the context of four-dimensions. We outline the phenomenology of the nucleation rates, finding that the dimensionality of the vacuum plays a key role and that among vacua of the same dimensionality, the rate is highest for smaller values of the cosmological constant. We consider the cosmological constant problem and propose a novel model of slow-roll inflation that is triggered by the compactification process.
Citable link to this pagehttp://nrs.harvard.edu/urn-3:HUL.InstRepos:8052090
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