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

Aroonkumar Beesham (Faculty of Natural Sciences, Mangosuthu University of Technology, 511 Griffiths Mxenge Highway, Umlazi, Durban 4031, South Africa)

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 N50 case leads to ns0.96, 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<Rtensorscalar<0.22, where Rtensorscalar is the tensor-scalar ratio. We find that at this point, the radial distance between our brane and another brane is R=1.5 GeV1 in intermediate and R=0.02225 GeV1 in logamediate inflation.

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  "abstracts": [
    {
      "source": "Hindawi", 
      "value": "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 <math id=\"M1\"><mi>N</mi><mo>\u2243</mo><mn>50</mn></math> case leads to <math id=\"M2\"><msub><mrow><mi>n</mi></mrow><mrow><mtext>s</mtext></mrow></msub><mo>\u2243</mo><mn>0.96</mn></math>, where <math id=\"M3\"><mi>N</mi></math> and <math id=\"M4\"><msub><mrow><mi>n</mi></mrow><mrow><mtext>s</mtext></mrow></msub></math> are the number of <math id=\"M5\"><mi>e</mi></math>-folds and the spectral index, respectively. This standard case may be found in the range <math id=\"M6\"><mn>0.01</mn><mo>&lt;</mo><msub><mrow><mi>R</mi></mrow><mrow><mtext>tensor</mtext><mo>\u2010</mo><mtext>scalar</mtext></mrow></msub><mo>&lt;</mo><mn>0.22</mn></math>, where <math id=\"M7\"><msub><mrow><mi>R</mi></mrow><mrow><mtext>tensor</mtext><mo>\u2010</mo><mtext>scalar</mtext></mrow></msub></math> is the tensor-scalar ratio. We find that at this point, the radial distance between our brane and another brane is <math id=\"M8\"><mi>R</mi><mo>=</mo><msup><mrow><mfenced><mrow><mn>1.5</mn><mtext> </mtext><mtext>GeV</mtext></mrow></mfenced></mrow><mrow><mo>\u2212</mo><mn>1</mn></mrow></msup></math> in intermediate and <math id=\"M9\"><mi>R</mi><mo>=</mo><msup><mrow><mfenced><mrow><mn>0.02225</mn><mtext> </mtext><mtext>GeV</mtext></mrow></mfenced></mrow><mrow><mo>\u2212</mo><mn>1</mn></mrow></msup></math> in logamediate inflation."
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Published on:
21 February 2020
Publisher:
Hindawi
Published in:
Advances in High Energy Physics (2020)

DOI:
https://doi.org/10.1155/2020/3963279
arXiv:
1908.09190
Copyrights:
Copyright © 2020 Aroonkumar Beesham.
Licence:
CC-BY-3.0

Fulltext files: