Evolution of Gravitationally Unstable de Sitter Compactifications
C. Krishnan, S. Paban, M. Zanic
TL;DR
This paper investigates how certain higher-dimensional de Sitter compactifications evolve over time, identifying conditions under which they stabilize or decompactify, with implications for theories of gravity with flux.
Contribution
It provides a detailed analysis of the dynamical evolution of unstable de Sitter compactifications and identifies stable configurations for specific flux values.
Findings
Stable configurations exist for certain flux values.
Unstable solutions tend to decompactify regardless of initial perturbations.
The evolution depends critically on the flux parameter.
Abstract
We study the time evolution of unstable \times 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.
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