In search of the dark matter dark energy interaction: a kinematic approach

TL;DR

This paper explores a kinematic model of the universe's late-time dynamics using the jerk parameter, suggesting potential dark matter-dark energy interaction, especially at high redshifts, based on observational data analysis.

Contribution

It introduces a constant jerk parameter model to investigate deviations from the ΛCDM model and its implications for dark matter and dark energy interaction.

Findings

Jerk parameter close to -1, consistent with ΛCDM

Deviations suggest possible dark matter-dark energy interaction

Interaction likelihood higher at high redshift

Abstract

The present work deals with a kinematic approach to the modelling the late time dynamics of the universe. This approach is based upon the assumption of constant value of cosmological jerk parameter, which is the dimensionless representation of the 3rd order time derivative of the scale factor. For the $\Lambda$CDM model, the value of jerk parameter is -1 throughout the evolution history. Now any model dependent estimation of the value of the jerk parameter would indicate the deviation of the model from the cosmological constant. In the present work, it has also been shown that for a constant jerk parameter model, any deviation of its value from -1 would not allow the dark matter to have an independent conservation, thus indicating towards an interaction between dark matter and dark energy. Statistical analysis with different observational data sets (namely the observational Hubble parameter data (OHD), the type Ia supernova data (SNe), and the baryon acoustic oscillation data (BAO)) lead to a well constrained values of the jerk parameter and the model remains at a very close proximity of the $\Lambda$CDM. The possibility of interaction is found to be more likely at high redshift rather than at present epoch.