In this paper, the properties of dark energy are investigated according to the parameterized deceleration parameter $q(z)$, which is used to describe the extent of the accelerating expansion of the universe. The potential of dark energy $V(ϕ)$ and the cosmological parameters, such as the dimensionless energy density $Ω_ϕ$, $Ω_{m}$, and the state parameter $w_ϕ$, are connected to it. Concretely, by giving two kinds of parameterized deceleration parameters $q(z)=a+\frac{bz}{1+z}$ and $q(z)=1/2+\frac{az+b}{(1+z)^2}$, the evolution of these parameters and the reconstructed potentials $V(ϕ)$ are plotted and analyzed. It's found that the potentials run away with the evolution of universe.
Reconstructing the cosmic expansion with a generalized q(z) parameterization: A decelerating Universe from late-time constraints
Instituto de Astronomía, Observatorio Astronómico Nacional, Universidad Nacional Autónoma de México(墨西哥国立自治大学国家天文台天文学研究所);Facultad de Ingeniería, Universidad Autónoma de Querétaro(克雷塔罗自治大学工程学院);Depto. de Física y Matemáticas, Universidad Iberoamericana Ciudad de México(墨西哥伊比利亚美洲大学物理与数学系);Instituto de Física y Astronomía, Universidad de Valparaíso(瓦尔帕莱索大学物理与天文学研究所);Escuela de Ingeniería, Universidad Central de Chile(智利中央大学工程学院)
Reconstructing the slope of a nearly flat quintessence potential from cosmography
Institute of Research and Development, Duy Tan University(发展研究院);Faculty of Natural Sciences, Duy Tan University(自然科学学院);Centre for Space Research, North-West University(空间研究中心);Department of Mathematics and Applied Mathematics, University of Cape Town(数学与应用数学系);South African Astronomical Observatory(南非天文台);Department of Physics and Astronomy, Vanderbilt University(物理与天文学系)