New inflationary exact solution from Lie symmetries

Author:

Paliathanasis Andronikos12ORCID

Affiliation:

1. Institute of Systems Science, Durban University of Technology, Durban 4000, South Africa

2. Instituto de Ciencias Físicas y Matemáticas, Universidad Austral de Chile, Valdivia 5090000, Chile

Abstract

For the inflaton field, we determine a new exact solution by using the Lie symmetry analysis. Specifically, we construct a second-order differential master equation for arbitrary scalar field potential by assuming that the spectral indices for the density perturbations [Formula: see text] and the scalar-to-tensor ratio [Formula: see text] are related as [Formula: see text]. Function [Formula: see text] is classified according to the admitted Lie symmetries for the master equation. The possible admitted Lie symmetries form the [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] Lie algebras. The new inflationary solution is recovered by the Lie symmetries of the [Formula: see text] algebra. Scalar field potential is derived explicitly, while we compare the resulting spectral indices with the observations.

Funder

National Research Foundation of South Africa

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

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