Application of the form invariance transformations of the scalar cosmological model in inflation theory

In this work, it is shown that the equations of motion of the scalar field for spatially flat, homogeneous, and isotropic space-time Friedmann-Robertson-Walker have a form-invariance symmetry, which is arising from the form invariance transformation. Form invariance transformation is defined by line...

Full description

Saved in:
Bibliographic Details
Published in:Journal of physics. Conference series 2021-11, Vol.2090 (1), p.12054
Main Authors: Razina, O V, Tsyba, P Yu, Suikimbayeva, N T
Format: Article
Language:English
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this work, it is shown that the equations of motion of the scalar field for spatially flat, homogeneous, and isotropic space-time Friedmann-Robertson-Walker have a form-invariance symmetry, which is arising from the form invariance transformation. Form invariance transformation is defined by linear function ρ = n 2 ρ in general case. It is shown the method of getting potential and the scalar field for the power law scale factor. The initial model is always stable at exponent of the scale factor α > 1, but stability of the transformation model depends on index n . Slow roll parameters and spectral induces is obtained and at large α they agree with Planck observation data.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/2090/1/012054