EU1 - Semiclassical and Quantum Cosmology |
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Speaker |
Sierra Ordoñez, Carlos Alberto |
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Coauthors |
Rodriguez, Yeinzon |
| Talk Title |
EXTENDED SLOW-ROLL CONDITIONS AND THE MOMENT TRANSPORT EQUATIONS |
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Abstract |
The standard slow-roll conditions maintain the Hubble parameter almost constant, leaving place to the primordial inflationary epoch. Through the separate-universe assumption, these conditions could be "extended" to its local form allowing the use of the moment transport equations methodology. The aim of this investigation is to standardize a procedure that allows us to calculate the non-gaussianity parameter $f_{NL}$ related to a cosmological model, using the moment transport equations and some adequate gauge transformations. The motivation of this study relies on the difficulty at obtaining the non-gaussianity parameters of cosmological models by means of the $\delta N$ formalism, since there does not exist a standard analytic procedure to obtain the derivatives of the amount of expansion or number of e-folds $N$. To overtake this difficulty, the application of the extended slow-roll condition allows us to use of the moment transport equations, so that the evolution of the $n-point$ correlators of the perturbations of the inflaton fields is obtained. The latter is complemented, in the framework of this methodology, with the ease of obtaining the derivatives of $N$ through a proper gauge transformation. |
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