Evolution of Gravitationally Unstable de Sitter Compactifications

Abstract

We study the time evolution of unstable $d{S}_p$ \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

References in corpus (8)

• de Sitter Vacua in String Theory
• Stability of AdS_p x M_q Compactifications Without Supersymmetry
• Unbounded entropy in spacetimes with positive cosmological constant
• From AdS Black Holes to Supersymmetric Flux-branes
• Spontaneous decompactification
• Braneworld dynamics with the BraneCode
• Gravitational Instability of de Sitter Compactifications
• Flux Compactifications: Stability and Implications for Cosmology

Cited by in corpus (16)

• Dynamical compactification from de Sitter space
• Transdimensional Tunneling in the Multiverse
• Anisotropic Kantowski-Sachs Universe from Gravitational Tunneling and its Observational Signatures
• Observing the Dimensionality of Our Parent Vacuum
• Decay of flux vacua to nothing
• Stretched extra dimensions and bubbles of nothing in a toy model landscape
• Stability and Spectrum of Compactifications on Product Manifolds
• Instability of brane cosmological solutions with flux compactifications
• Thermodynamic and dynamical stability of Freund-Rubin compactification
• Quantum Field Theory, Black Holes and Holography
• Measures for a Transdimensional Multiverse
• Instability of de Sitter brane and horizon entropy in a 6D braneworld
• The Fate of Unstable Gauge Flux Compactifications
• Investigating the Stability of a Nonsupersymmetric Landscape
• Nonlinear dynamics of flux compactification
• Spectrum from the warped compactifications with the de Sitter universe