Journal of High Energy Physics (May 2023)

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

  • Hajime Otsuka,
  • Yutaka Sakamura

DOI
https://doi.org/10.1007/jhep05(2023)231
Journal volume & issue
Vol. 2023, no. 5
pp. 1 – 34

Abstract

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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.

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