Curvature-Assisted Dynamical Compactification in a Pre-Inflationary Higher-Dimensional Universe

Abstract

We investigate a pre-inflationary dynamical compactification scenario in which a higher-dimensional expanding universe evolves into an effectively four-dimensional one through curvature-assisted modulus trapping. To obtain a calculable semiclassical realization, we consider a simple five-dimensional $S^1$ compactification in a time-dependent open FRW background. Bulk quantum fields generate both the late-time Casimir contribution that stabilizes the radion and the early-time Kaluza-Klein thermal contributions relevant for the cosmological evolution. We show that negative curvature can sustain tracker-like radion evolution, allowing the radion to be trapped in a compactified vacuum before a subsequent four-dimensional inflationary phase dilutes the curvature remnant. While our analysis is performed in a 5D toy model, it illustrates a broader mechanism by which dynamical compactification can arise in a pre-inflationary higher-dimensional cosmology.

50 pages, 10 figures, v2: comments and subsection added, v3: typos fixed and the version matching to the published version

References in corpus (22)

• de Sitter Vacua in String Theory
• Cosmology and the Fate of Dilatation Symmetry
• The Pre-Big Bang Scenario in String Cosmology
• Superconformal Inflationary $\alpha$-Attractors
• Landscape, the Scale of SUSY Breaking, and Inflation
• Observational Consequences of a Landscape
• String Gas Cosmology
• Volume Modulus Inflation and the Gravitino Mass Problem
• A Cosmological Mechanism for Stabilizing Moduli
• String Gas Cosmology: Progress and Problems
• Maximal Temperature in Flux Compactifications
• Cosmological stabilization of moduli with steep potentials
• Catch-Me-If-You-Can: The Overshoot Problem and the Weak/Inflation Hierarchy
• Moduli Entrapment with Primordial Black Holes
• Large extra dimensions from higher-dimensional inflation
• Moduli evolution in the presence of flux compactifications
• Moduli Evolution in Heterotic Scenarios
• The Overshoot Problem in Inflation after Tunneling
• Moduli evolution in the presence of thermal corrections
• Moduli Evolution in the Presence of Matter Fields and Flux Compactification
• Full higher-dimensional analysis of moduli oscillation and radiation in expanding universe
• Primordial Power Spectrum of Five Dimensional Uniform Inflation