Abstract

According to a Barrow solution for the scale factor of the universe, the main properties of the tachyon inflation model in the framework of the RSII braneworld are studied. Within this framework the basic slow-roll parameters are calculated analytically. We compare this inflationary scenario to the latest observational data. The predicted spectral index and the tensor-to-scalar fluctuation ratio are in excellent agreement with those of Planck 2015. The current predictions are consistent with those of viable inflationary models.

Highlights

  • The set up and motivationConsidering a spatially flat Friedmann–Lemaitre–Robertson– Walker (FLRW) (hereafter FLRW) universe the stress-energy tensor components are represented by

  • Considering a spatially flat Friedmann–Lemaitre–Robertson– Walker (FLRW) universe the stress-energy tensor components are represented by

  • In the past few years, there was a debate among particle physicists and cosmologists regarding those phenomenological models which can be produced in extra dimensions

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Summary

The set up and motivation

Considering a spatially flat Friedmann–Lemaitre–Robertson– Walker (FLRW) (hereafter FLRW) universe the stress-energy tensor components are represented by. The reduction of a higherdimensional gravitational scale, down to the TeV-scale, could be presented by an extra dimensional scenario [19,20,21] In these scenarios, the gravity field propagates in the bulk, while standard models of particles are confined to the lowerdimensional brane. We will study the tachyon inflation model in the framework of the Randall–Sundrum II braneworld [30], which contains a single, positive tension brane and a non-compact extra dimension. We note that this is not the only scenario where these characteristics are present.

Tachyon inflation
V dV dφ
Perturbation
Comparison with observation
Comparison with other models
Conclusions
Full Text
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