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Constraining the dark energy statefinder hierarchy in a kinematic approach

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The present work is aimed at constraining the extended null diagnostic of concordance cosmology, known as the statefinder hierarchy. The reconstruction studied here is based on a kinematic approach using… Click to show full abstract

The present work is aimed at constraining the extended null diagnostic of concordance cosmology, known as the statefinder hierarchy. The reconstruction studied here is based on a kinematic approach using the series expansion of the Hubble parameter. The coefficients of the Taylor series expansion have connections with the kinematical parameters like the deceleration parameter, cosmological jerk parameter etc. The present values of the kinematical parameters are constrained from the estimated values of those series coefficients using the observational measurements of Hubble parameter at different redshifts, the distance modulus data of type Ia supernovae and baryon acoustic oscillation data. The statefinder diagnostic which is a function of the kinematical parameters is presented in a form of hierarchy according to the order of the kinematical parameters. The present values of statefinder parameters within the hierarchy have been constrained. The first set of statefinder allows $\Lambda$CDM well within the 1$\sigma$ confidence region, whereas the second set of statefinder parameters is in tension with the corresponding $\Lambda$CDM values at 1$\sigma$ level. It indicates towards a possible deviation from $\Lambda$CDM cosmology based on the present analysis which utilizes only these three different data sets mentioned above.

Keywords: statefinder; cosmology; kinematical parameters; kinematic approach; statefinder hierarchy

Journal Title: Journal of Cosmology and Astroparticle Physics
Year Published: 2019

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