G-inflation: from the intermediate, logamediate and exponential models

Ramón Herrera (Instituto de Física, Pontificia Universidad Católica de Valparaíso, Avenida Brasil 2950, Valparaiso, Chile) ; Nelson Videla (Instituto de Física, Pontificia Universidad Católica de Valparaíso, Avenida Brasil 2950, Valparaiso, Chile) ; Marco Olivares (Facultad de Ingeniería y Ciencias, Universidad Diego Portales, Avenida Ejército Libertador 441, Santiago, Chile)

The intermediate, logamediate and exponential inflationary models in the context of Galileon inflation or G-inflation are studied. By assuming a coupling of the form $$G(\phi ,X)\propto \phi ^{\nu }\,X^{n}$$ G(ϕ,X)ϕνXn in the action, we obtain different analytical solutions from the background cosmological perturbations assuming the slow-roll approximation. General conditions required for these models of G-inflation to be realizable are determined and discussed. In general, we analyze the condition of inflation and also we use recent astronomical and cosmological observations for constraining the parameters appearing in these G-inflationary models.

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      "surname": "Videla", 
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      "surname": "Olivares", 
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      "value": "The intermediate, logamediate and exponential inflationary models in the context of Galileon inflation or G-inflation are studied. By assuming a coupling of the form $$G(\\phi ,X)\\propto \\phi ^{\\nu }\\,X^{n}$$ <math><mrow><mi>G</mi><mrow><mo>(</mo><mi>\u03d5</mi><mo>,</mo><mi>X</mi><mo>)</mo></mrow><mo>\u221d</mo><msup><mi>\u03d5</mi><mi>\u03bd</mi></msup><mspace width=\"0.166667em\"></mspace><msup><mi>X</mi><mi>n</mi></msup></mrow></math>  in the action, we obtain different analytical solutions from the background cosmological perturbations assuming the slow-roll approximation. General conditions required for these models of G-inflation to be realizable are determined and discussed. In general, we analyze the condition of inflation and also we use recent astronomical and cosmological observations for constraining the parameters appearing in these G-inflationary models."
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Published on:
14 November 2018
Publisher:
Springer
Published in:
European Physical Journal C , Volume 78 (2019)
Issue 11
Pages 1-13
DOI:
https://doi.org/10.1140/epjc/s10052-018-6420-x
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

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