Emergence of warm inflation in curved space-time between accelerating branes

TL;DR

This paper explores how warm inflation in curved space-time between accelerating branes can produce observable signatures, linking brane interactions and extra-dimensional dynamics to cosmological data.

Contribution

It introduces a model connecting brane interactions in extra dimensions with warm inflation signatures observable in cosmological data.

Findings

Spectral index ns = 0.96 for N=50 e-folds.

Tensor-scalar ratio R(Tensor-scalar) between 0.01 and 0.22.

Brane orbital radius related to inflationary parameters.

Abstract

It appears that having our own brane to somehow interact with other branes could give rise to quite an interesting system and that 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 < R(Tensor-scalar) < 0:22, where R(Tensor-scalar) is the tensor-scalar ratio. We find that at this point, the radial distance between our brane and another brane is R = 1/(1:5GeV ) in intermediate, and R = 1/(0:02225GeV ) in logamediate inflation.