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

Astrophysics 2011-05-23 v1

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<\Omega_0<1 for any redshift, and a global relative error of less than 4% for any choice of parameters.

Keywords

Cite

@article{arxiv.astro-ph/9904172,
  title  = {Brief Note: Analytical Fit to the Luminosity Distance for Flat Cosmologies with a Cosmological Constant},
  author = {Ue-Li Pen},
  journal= {arXiv preprint arXiv:astro-ph/9904172},
  year   = {2011}
}

Comments

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