Assessing observational constraints on dark energy
David Shlivko, Paul J. Steinhardt
Abstract
Observational constraints on time-varying dark energy (e.g., quintessence) are commonly presented on a w0-wa plot that assumes the equation of state of dark energy strictly satisfies w(z)=w0+waz/(1+z) as a function of the redshift z. Recent observations favor a sector of the w0-wa plane in which w0>−1 and w0+wa<−1, suggesting that the equation of state underwent a transition from violating the null energy condition (NEC) at large z to obeying it at small z. In this paper, we demonstrate that this impression is misleading by showing that simple quintessence models satisfying the NEC for all z predict an observational preference for the same sector. We also find that quintessence models that best fit observational data can predict a value for the dark energy equation of state at present that is significantly different from the best-fit value of w0 obtained assuming the parameterization above. In addition, the analysis reveals an approximate degeneracy of the w0-wa parameterization that explains the eccentricity and orientation of the likelihood contours presented in recent observational studies.