Abstract

Warped braneworld models has the potential to provide a plausible resolution to the gauge hierarchy problem but at the cost of introduction of an additional field, namely the inter-brane separation or, the radion field. Providing an appropriate stabilization scheme for the radion field has long been sought for. In this work, we discuss dynamical stabilization of the radion field in the context of early universe cosmology. We show that by allowing the branes to be \emph{non-flat} and \emph{dynamical} a radion potential is naturally generated which can trigger the inflationary phase of the early universe. Interestingly, the kinetic term of the radion during the inflationary epoch exhibits a phantom-like behavior and the dynamical evolution of the radion field to its stable value marks the exit from the phantom phase as well as the inflationary era simultaneously. We show that the amalgamation and synergy of the radion potential along with its kinetic term can not only trigger the inflationary scenario but also provide a successful exit from the same while maintaining concordance with current observation.

Highlights

  • Extra-dimensional models [1,2,3,4,5,6,7,8,9,10,11,12], originally intended to provide grand unification of the known forces, play crucial roles in resolving the gauge-hierarchy problem, arising due to large radiative corrections to the Higgs mass

  • The warped geometry models in general consist of a five-dimensional anti–de Sitter (AdS) bulk spacetime within which two 3-branes are embedded with S1=Z2 orbifolding along the extra dimension

  • By suitably adjusting the boundary values of the bulk scalar on the two 3-branes, the necessary warping for resolution of the gauge hierarchy problem can be achieved without introducing any other hierarchical length scales

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Summary

INTRODUCTION

Extra-dimensional models [1,2,3,4,5,6,7,8,9,10,11,12], originally intended to provide grand unification of the known forces, play crucial roles in resolving the gauge-hierarchy problem, arising due to large radiative corrections to the Higgs mass. By suitably adjusting the boundary values of the bulk scalar on the two 3-branes, the necessary warping for resolution of the gauge hierarchy problem can be achieved without introducing any other hierarchical length scales In such contexts the 3-branes are taken to be flat and the origin of the bulk scalar field remains unexplored. This paves the way for a generalized version of the warped geometry models where 3-branes are considered to be nonflat [13], or higher-curvature terms are included in the action [31,32,33]. The fundamental constants c and ħ are set to unity

WARPED BRANEWORLD WITH NONFLAT BRANES: A BRIEF REVIEW
Radion stabilization in the nonflat warped braneworld scenario
INFLATIONARY EPOCH AND STABILIZATION OF THE MODULUS
Radion stabilization
Implications in early universe cosmology
H d dΦ ln 1 þ
SUMMARY AND DISCUSSIONS
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