Revisiting the parametrization of Equation of State of Dark Energy via SNIa Data

Abstract

In this paper, we revisit the parameterizations of the equation of state of dark energy and point out that comparing merely the ${\chi }^2$ of different fittings may not be optimal for choosing the "best" parametrization. Another figure of merit for evaluating different parametrizations based on the area of the $w(z)-z$ band is proposed. In light of the analysis of some two-parameter parameterizations and models based on available SNIa data, the area of $w(z)-z$ band seems to be a good figure of merit, especially in the situation that the value of ${\chi }_{\min }^2$ for different parametrizations are very close. Therefore, we argue that both the area of the $w(z)-z$ band and ${\chi }_{\min }^2$ should be synthetically considered for choosing a better parametrization of dark energy in the future experiments.

7 pages, contains 5 figures and 2 tables, accepted for publication in MNRAS

References in corpus (7)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Dynamics of dark energy
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• WMAP constraints on low redshift evolution of dark energy
• The Dynamics of Quintessence, The Quintessence of Dynamics
• Present and future evidence for evolving dark energy
• Dynamical age of the universe as a constraint on the parametrization of dark energy equation of state

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