Open AccessApplication of the form invariance transformations of the scalar cosmological model in inflation theory
Author(s) -
Olga Razina,
Pyotr Tsyba,
Nurgul Suikimbayeva
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2090/1/012054
Subject(s) - scalar field , scale invariance , physics , scale factor (cosmology) , scalar (mathematics) , mathematical physics , isotropy , inflation (cosmology) , classical mechanics , equations of motion , exponent , transformation (genetics) , spectral index , theoretical physics , cosmology , mathematics , metric expansion of space , quantum mechanics , geometry , dark energy , spectral line , linguistics , philosophy , biochemistry , chemistry , gene
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.