Brief Note: Analytical Fit to the Luminosity Distance for Flat Cosmologies with a Cosmological Constant

Abstract

We present a fitting formula for the luminosity and angular diameter distances in cosmological models with pressureless matter, a cosmological constant and zero spatial curvature. The formula has a relative error of less than 0.4% for 0.2<Ω_0<1 for any redshift, and a global relative error of less than 4% for any choice of parameters.

9 pages, full postscript paper available at http://www.cita.utoronto.ca/~pen/download/dlum.ps.gz

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