Emergence of Warm Inflation in Curved Space-Time between Accelerating Branes

Aroonkumar Beesham

doi:10.1155/2020/3963279

Abstract

It appears that having our own brane to somehow interact with other branes could give rise to quite an interesting system and that interaction could lead to some observable effects. We consider the question of whether or not these signatures of interaction between the branes can be observed. To answer this question, we investigate the effect induced by the inflaton in the WMAP7 data using the warm inflationary model. In this model, slow-roll and perturbation parameters are given in terms of the inflaton thermal distribution. We show that this distribution depends on the orbital radius of the brane motion under the interaction potential of other branes in extra dimensions. Thus, an enhancement in the brane inflation can be a signature of an orbital motion in extra dimensions, and consequently, some signals of other branes can be detected by observational data. According to experimental data, the N≃50 case leads to ns≃0.96, where N and ns are the number of e-folds and the spectral index, respectively. This standard case may be found in the range 0.01<Rtensor‐scalar<0.22, where Rtensor‐scalar is the tensor-scalar ratio. We find that at this point, the radial distance between our brane and another brane is R=1.5 GeV−1 in intermediate and R=0.02225 GeV−1 in logamediate inflation.

Highlights

It was argued that the boundary conditions to be imposed on the quantum state of the whole multiverse could be such that brane universes could be created in entangled pairs [1]
The orbital radius of our brane in extra dimensions can be described according to the interaction potential of other branes
: In Figures 4 and 5, we present the number of e-folds N and the spectral index for the logamediate inflation scenario as a function of R−1, where R is the orbital radial distance between the branes

Summary

Introduction

It was argued that the boundary conditions to be imposed on the quantum state of the whole multiverse could be such that brane universes could be created in entangled pairs [1]. B = B0 exp ωð5f +2Þ/8 , ð31Þ where ω = ðð6/Γ0Þð2C/3Þ3/4Þ1/2ðð8ð f AÞ5/8ð1 − f Þ1/8Þ/ð5f + 2ÞÞ and Γ0 is constant This equation insists that the evolution of our brane universe is affected by the number of inflatons that are radiated from the apparent horizon of the braneantibrane system and it changes with an increase or decrease in the orbital radial distance between the two branes. With a decrease in this distance, more inflatons are radiated from the apparent horizon of the system, the slow-roll parameters increase, and, as a result, the universe inflates more According to this result, the radiation energy density is given in terms of the orbital radius of the brane motion in extra dimensions. The potential in terms of the orbital radial distance between the two branes is presented as

12 CA ð48Þ

Summary and Discussion