Abstract

Recently, various observational data predicted a possibility that inflation may naturally occur in a warm region. In this scenario, radiation is produced during the inflation epoch and reheating is avoided. The main question arises as to what is the origin of warm inflation in 4D universe? We answer this question in brane–antibrane system. We propose a model that allows all cosmological parameters like the scale factor a, the Hubble parameter H and phantom energy density depend on the equation of state parameter in transverse dimension between two branes. Thus, an enhancement in these parameters can be a signature of some evolutions in extra dimension. In our model, the expansion of 4D universe is controlled by the separation distance between branes and evolves from non-phantom phase to phantom one. Consequently, phantom-dominated era of the universe accelerates and ends up in big-rip singularity. Also, we show that as the tachyon potential increases, the effect of interaction between branes on the 4D universe expansion becomes systematically more effective, because at higher energies there exist more channels for flowing energy from extra dimension to other four dimensions. Finally, we test our model against WMAP and Planck data and obtain the ripping time. According to experimental data, N≃50 case leads to ns≃0.96, where N and ns are the number e-folds and the spectral index respectively. This standard case may be found in 0.01<RTensor–scalar<0.22, where RTensor–scalar is the tensor–scalar ratio. At this point, the finite time at which Big Rip singularity occurs is trip=33 (Gyr).

Highlights

  • One main problem of the inflation theory is how to attach the universe to the end of the inflation epoch

  • Radiation is produced during the inflation epoch and reheating is avoided

  • The warm inflationary universe has been discussed in many papers [2,3,4,5,6]

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Summary

INTRODUCTION

One main problem of the inflation theory is how to attach the universe to the end of the inflation epoch. Some investigators [10] examined the warm inflationary model with observational data and showed that the prediction of this model is consistent with Planck results [11] They explained that when the temperature of the radiation bath is bigger or equal to Hubble parameter (T ≥ H) and non-trivial inflaton occupation numbers are sustained during inflation, the amplitude of scalar curvature fluctuations can be significantly enhanced, whereas tensor perturbations are generically unaffected due to their weak coupling to matter fields. The energy momentum tensor is obtained from action by calculating its functional derivative w.r.t. the background ten-dimensional metric gMN

The precise relation is
By defining
SUMMARY AND DISCUSSION

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