Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-04-21
JHEP 0911:094,2009
Physics
High Energy Physics
High Energy Physics - Theory
Revtex. 41 pages with 24 embedded figures. Minor corrections and added references
Scientific paper
10.1088/1126-6708/2009/11/094
We 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.
Carroll Sean M.
Johnson Matthew C.
Randall Lisa
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