Abstract

We consider a brane cosmology scenario by taking an inflating 3D domain wall immersed in a five-dimensional Minkowski space in the presence of a stack of N parallel domain walls. They are static BPS solutions of the bosonic sector of a 5D supergravity theory. However, one can move towards each other due to an attractive force in between driven by bulk particle collisions and resonant tunneling effect. The accelerating domain wall is a 3-brane that is assumed to be our inflating early Universe. We analyze this inflationary phase governed by the inflaton potential induced on the brane. We compute the slow-roll parameters and show that the spectral index and the tensor-to-scalar ratio are within the recent observational data.

Highlights

  • Inflationary cosmological scenarios were proposed by Starobinsky, Sato, Guth [1,2,3] and Linde [4]

  • The observations of the Cosmic Microwave Background (CMB) have shown to develop enormous importance in modern cosmology concerning constrain several models that have emerged as an attempt to explain the expansion of the Universe [6,7,8,9]]

  • We investigate the realization of the Dvali-Tye scenario in the context of domain wall solutions in a 5D gravity coupled to scalar fields in a way that can be viewed as the bosonic sector of a particular supergravity theory in five dimensions

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Summary

INTRODUCTION

Inflationary cosmological scenarios were proposed by Starobinsky, Sato, Guth [1,2,3] and Linde [4]. An interesting possibility is to associate the models that describe the acceleration of the Universe, such as during inflation and dark energy phases, to the scenario known as the Dvali-Tye brane inflation [13] In this way, we consider our Universe as a 3-brane embedded in a 5D Minkowski spacetime [13, 14] that undergoes an accelerated expansion due to the presence of an induced scalar potential for a scalar field that corresponds to inter-brane distance. We consider our Universe as a 3-brane embedded in a 5D Minkowski spacetime [13, 14] that undergoes an accelerated expansion due to the presence of an induced scalar potential for a scalar field that corresponds to inter-brane distance This is the direction of looking from the inflationary scenario in the realm of fundamental theories such as string theories and effective limits, namely supergravity — for a recent study on this issue see [15].

THE MODEL
Domain wall solutions
The domain wall reflection coefficient
THE INDUCED INFLATON POTENTIAL
INFLATIONARY COSMOLOGY ON THE BRANE
CONCLUSIONS
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