The Dyer-Roeder distance in quintessence cosmology and the estimation of H_0 through time-delays

Abstract

We calculate analytically and numerically the Dyer-Roeder distance in perfect fluid quintessence models and give an accurate fit to the numerical solutions for all the values of the density parameter and the quintessence equation of state. Then we apply our solutions to the estimation of $H_0$ from multiple image time delays and find that the inclusion of quintessence modifies sensibly the likelihood distribution of $H_0$, generally reducing the best estimate with respect to a pure cosmological constant. Marginalizing over the other parameters (${\Omega }_m$ and the quintessence equation of state), we obtain $H_0=71\pm 6$ km/sec/Mpc for an empty beam and $H_0=64\pm 4$ km/sec/Mpc for a filled beam. We also discuss the future prospects for distinguishing quintessence from a cosmological constant with time delays.

10 pages, 6 figures, submitted to MNRAS

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• Constraining the dark energy and smoothness-parameter with supernovae
• Constraining the dark energy and smoothness parameter with type Ia Supernovae and Gamma-Ray Bursts
• An investigation of gravitational lens determinations of H_o in quintessence cosmologies
• The Dyer-Roeder relation in a universe with particle production
• Bayesian approach to gravitational lens model selection: constraining H_0 with a selected sample of strong lenses
• Unbiased constraints on the clumpiness of universe from standard candles
• Angular diameter distances reconsidered in the Newman and Penrose formalism