Statefinder diagnostic for exponential harmonic field

Abstract

The dynamic study of the harmonic exponential field has been made using the statefinder diagnostic. By the use of a specific method, we find out the statefinder parameters [Formula: see text], [Formula: see text] according to the deceleration parameter and the redshift. The numerical analysis of these parameters brings out the transition between the accelerated and decelerated phases of the universe. There is also an attracting effect from the SCDM (Standard Cold Dark Matter) model toward the LCDM model ([Formula: see text]CDM). In view of the results this study allows us to classify the exponential harmonic field among the quintessential models.