Evolution of Gravitationally Unstable de Sitter Compactifications
arXiv:hep-th/0503025 · doi:10.1088/1126-6708/2005/05/045
Abstract
We study the time evolution of unstable $dS_p$ \times $S^q$ configurations with flux in theories of gravity with a cosmological constant. For certain values of the flux, we identify a stable configuration to which these unstable solutions flow. For other values of the flux the sphere wants to decompactify, regardless of the sign of the initial perturbation.
11 pages, 8 figures; references added, typos corrected and figure 5 replaced