Cosmic expansion parametrization: Implication for curvature and $\text{H}_{0}$ tension

Understand

We propose an analytical parametrization of the comoving distance and Hubble parameter to study the cosmic expansion history beyond the vanilla $\Lambda$CDM model.

• The parametrization is generalized enough to include the contribution of spatial curvature and to capture the higher redshift behaviors.
• With this parameterization, we study the late time cosmic behavior and put constraints on the cosmological parameters like present values of Hubble parameter ($H_{0}$), matter energy density parameter ($\Omega_{m0}$), spatial curvature energy density parameter ($\Omega_{k0}$) and baryonic matter energy density parameter ($\Omega_{b0}$) using different combinations data like CMB (Cosmic microwave background), BAO (baryon acoustic oscillation), and SN (Pantheon sample for type Ia supernovae).
• We also rigorously study the Hubble tension in the framework of late time modification from the standard $\Lambda$CDM model.