Using Hubble Parameter Measurements to Find Constraints on Dark Energy Based on Different Cosmological Models

Abstract

In this paper, Hubble parameter versus redshift data, collected from multiple resources, is used to place constraints on the parameters of two current Cosmological dark energy models. The first dark energy model considered is the Standard Model of cosmology, also known as CDM with spatial curvature, which is primarily based on Einstein’s General Theory of Relativity with a spatially homogeneous time-independent cosmological constant, . The second is the XCDM model which parameterize dark energy as a fluid whose density can vary with time. The H(z) data collected through different experimental sources was used to put constraints on the parameters of these models. The constraints obtained are then compared with the previously obtained constraints using different probes like type-1a supernovae, distance modulus, CMB anisotropy, and baryonic acoustic oscillations peak length scale. The results of analyzing the Hubble parameter vs redshift data is consistent with previous conclusions that we live in an approximately flat, accelerating Universe. However, in order to deduct tighter constraints on cosmological models’ parameter, like the geometry of the Universe, more and better-quality data will be needed.