Full higher-dimensional analysis of moduli oscillation and radiation in expanding universe

Abstract

We investigate effects of the radiation and the moduli oscillation around the stabilized values on the evolution of a 6-dimensional spacetime compactified on $S^2$. In order to see the transition from the 5-dimensional space to the 3-dimensional one, we develop a procedure to pursue the spacetime evolution with appropriate approximations, which is valid until the spacetime behaves like 4-dimensional. In the case that the moduli stabilization process cannot be described in the context of the 4-dimensional effective theory, it takes quite a long time for the moduli oscillation to dominate the total energy density, in contrast to the conventional result obtained by the 4-dimensional effective theory approach. We also found that even if the moduli are set at the stabilized values, they start to oscillate due to the pressure in the extra space $S^2$ in some cases.

arXiv comment29 pages, 10 figures

References in corpus (11)

• Model Independent Properties and Cosmological Implications of the Dilaton and Moduli Sectors of 4-d Strings
• Cosmological Implications of Dynamical Supersymmetry Breaking
• Towards a Naturally Small Cosmological Constant from Branes in 6D Supergravity
• Warped Brane Worlds in Six Dimensional Supergravity
• Global aspects of the space of 6D N = 1 supergravities
• 3-Branes and Uniqueness of the Salam-Sezgin Vacuum
• Supersymmetric Large Extra Dimensions and the Cosmological Constant: An Update
• General Axisymmetric Solutions and Self-Tuning in 6D Chiral Gauged Supergravity
• Football Shaped Extra Dimensions and the Absence of Self-Tuning
• The General Warped Solution with Conical Branes in Six-dimensional Supergravity
• Spacetime evolution during moduli stabilization in radiation dominated era beyond 4D effective theory

Cited by in corpus (1)

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