Symmetry Analysis In Inflationary Cosmology

Abstract

We approach the cosmological inflation thought symmetries of differential equations. We consider the general inflaton field in a homogeneous Friedmann--Lema\^ıtre--Robertson--Walker spacetime and with the use of conformal transformations we are able to write the generic algebraic solution for the field equations. We put emphasis on the inflationary models and we show how we can construct new inflationary models from already known models by using symmetry transformations.

arXiv comment7 pages, no figures, published on the proceedings of "Modern Treatment of Symmetries Differential Equations and Applications, Suranaree University of Technology, Thailand (2019)

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