In this paper, we reconstruct the late-time cosmological dynamics using a purely kinematic approach. In particular, considering a divergence-free parametrization for deceleration parameter q, we first derive the jerk parameter j and then confront it with combination of various cosmological datasets. We use the most recent observational datasets consisting of the 1048 Pantheon Supernovae Ia data points in the redshift range 0.01 < z < 2.3, the 51 data points of observational Hubble parameter (OHD) measurements in the redshift range 0.07 ≤ z ≤ 2.36, the Hubble constant H0 (R19) and the CMB shift parameter measurements. We study the evolution of different cosmological quantities for the present model and compare it with the concordance ΛCDM model. We find that only the combined Pantheon+OHD+R19 data shows good agreement with the ΛCDM (j = 1) model within 1σ confidence region. We also find that our model successfully generates late time cosmic acceleration along with a decelerated expansion in the past.

中文翻译：

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Pantheon SNIa、OHD 和 CMB 位移参数测量对运动学模型的约束

在本文中，我们使用纯运动学方法重建了后期宇宙学动力学。特别是，考虑减速参数的无散参数化q，我们首先推导出jerk参数j然后用各种宇宙学数据集的组合来对抗它。我们使用最新的观测数据集，包括红移范围内的 1048 个万神殿超新星 Ia 数据点0.01 < z < 2.3，红移范围内的 51 个观测哈勃参数 (OHD) 测量数据点0.07 ≤ z ≤ 2.36, 哈勃常数H0(R19) 和 CMB 偏移参数测量。我们研究了当前模型的不同宇宙学量的演变，并将其与一致性进行了比较Λ清洁发展机制模型。我们发现只有 Pantheon+OHD+R19 的组合数据与Λ清洁发展机制(j = 1)模型内1σ置信区域。我们还发现，我们的模型成功地产生了晚期宇宙加速以及过去的减速膨胀。