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Dynamical compactification from de Sitter space

Carroll, Sean M. and Johnson, Matthew C. and Randall, Lisa (2009) Dynamical compactification from de Sitter space. Journal of High Energy Physics, 11 . Art. No. 094. ISSN 1126-6708.

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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.

Item Type:Article
Related URLs:
Carroll, Sean M.0000-0002-4226-5758
Johnson, Matthew C.0000-0002-5099-8185
Additional Information:© SISSA 2009. Received 12 October 2009, accepted for publication 30 October 2009. Published 20 November 2009. The authors wish to thank Rob Myers and Matt Kleban for helpful conversations. Partial support for this research was provided by the U.S. Department of Energy and the Gordon and Betty Moore Foundation. L.R. thanks the California Institute of Technology, the Moore Fellowship Program, and NYU for their hospitality while this work was completed. L.R. is supported by NSF grant PHY-0556111.
Group:Moore Center for Theoretical Cosmology and Physics
Funding AgencyGrant Number
U.S. Department of EnergyUNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Moore Fellowship ProgramUNSPECIFIED
Subject Keywords:Flux compactifications; Cosmology of Theories beyond the SM; p-branes; Classical Theories of Gravity
Record Number:CaltechAUTHORS:20100120-093214799
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:17231
Deposited By: Tony Diaz
Deposited On:27 Jan 2010 03:20
Last Modified:09 Mar 2020 13:18

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