Singular Model of an Inflationary Universe

Abstract

A cosmological model of an inflationary Universe is considered that is induced by the generalized form of the equation of state for a fluid in a spatially flat Friedmann–Lemaître–Robertson–Walker Universe. A cosmological model of a fluid that describes an inflationary Universe with a type-IV singularity is investigated. Values of parameters in the equation of state of the fluid near singularities are found. Finally, we consider the correspondence of the theoretical values of the inflation parameters leading to singular inflation of type IV with the experimental data obtained from observations made by the Planck mission.